{"id":108010,"date":"2020-01-29T18:12:18","date_gmt":"2020-01-29T17:12:18","guid":{"rendered":"https:\/\/www.superprof.es\/diccionario\/calculo\/derivacion-logaritmica.html"},"modified":"2026-10-07T17:44:13","modified_gmt":"2026-10-07T15:44:13","slug":"derivacion-logaritmica","status":"publish","type":"post","link":"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\/derivacion-logaritmica.html","title":{"rendered":"Derivaci\u00f3n logar\u00edtmica"},"content":{"rendered":"<section style=\"\">\r\n          \n\n<p class=\"wp-block-paragraph\" >Con determinadas funciones, especialmente para la <strong>funci\u00f3n potencial-exponencial<\/strong>, es aconsejable el empleo de la <strong>derivaci\u00f3n logar\u00edtmica<\/strong>, ya que facilitan bastante el c\u00e1lculo.<\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-1.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 1\"  ><\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-2.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 2\"  ><\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-3.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 3\"  ><\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-4.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 4\"  ><\/p>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-5.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 5\"  ><\/p>\n\n\r\n               \r\n\t\t\t\t\t\t\t\n\n<h2 class=\"wp-block-heading\">Ejemplos<\/h2>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-6.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 6\"  ><\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-7.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 7\"  ><\/p>\n\n\r\n                            \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-8.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 8\"  ><\/p>\n\n\r\n              \n\n<p class=\"wp-block-paragraph\">.<img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-9.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 9\"  ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><br \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-10.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 10\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_g\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-11.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 11\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_g\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-12.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 12\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_g\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-13.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 13\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_g\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-14.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 14\" class=\"i\"  ><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><br \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-15.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 15\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-16.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 16\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-17.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 17\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-18.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 18\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-19.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 19\" class=\"i\"  ><\/span><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><br \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-20.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 20\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\">Aplicamos <a href=\"https:\/\/www.superprof.es\/apuntes\/escolar\/matematicas\/algebra\/log\/propiedades-de-los-logaritmos.html\">la definici\u00f3n de logaritmo<\/a>:<\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-21.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 21\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-22.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 22\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-23.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 23\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-24.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 24\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-25.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 25\" class=\"i\"  ><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-26.gif\" alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 26\" class=\"i\"  ><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><br \/><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-27.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 27\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-28.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 28\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-29.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 29\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-30.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 30\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-31.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 31\" class=\"i\"  ><\/span><\/p>\n\n\r\n                \n\n<p class=\"wp-block-paragraph\"><span class=\"actividades_2_r\"><img decoding=\"async\" src=\"https:\/\/www.superprof.es\/diccionario\/wp-content\/uploads\/2020\/01\/derivaci&oacute;n-logar&iacute;tmica-32.gif\"  alt=\"Explicaciones y ejemplos de derivaci&oacute;n logar&iacute;tmica - 32\" class=\"i\"  ><\/span><\/p>\n\n\n<\/section>","protected":false},"excerpt":{"rendered":"<p>Con determinadas funciones, especialmente para la funci\u00f3n potencial-exponencial, es aconsejable el empleo de la derivaci\u00f3n logar\u00edtmica, ya que facilitan bastante el c\u00e1lculo. . . . . . Ejemplos . . . . Aplicamos la definici\u00f3n de logaritmo:<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_robots_primary_cat":"","_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","advgb_blocks_editor_width":"","advgb_blocks_columns_visual_guide":"","footnotes":""},"categories":[366],"tags":[370],"class_list":["post-108010","post","type-post","status-publish","format-standard","hentry","category-calculo","tag-d"],"acf":[],"author_meta":{"display_name":"Andra","author_link":"https:\/\/www.superprof.es\/diccionario\/author\/andra"},"featured_img":null,"coauthors":[],"tax_additional":{"categories":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">C\u00e1lculo<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">C\u00e1lculo<\/span>"]},"tags":{"linked":["<a href=\"https:\/\/www.superprof.es\/diccionario\/matematicas\/calculo\" class=\"advgb-post-tax-term\">d<\/a>"],"unlinked":["<span class=\"advgb-post-tax-term\">d<\/span>"]}},"comment_count":"0","relative_dates":{"created":"Publicado 7 a\u00f1os hace","modified":"Actualizado 3 semanas hace"},"absolute_dates":{"created":"Publicado el 29 enero 2020","modified":"Actualizado el 7 octubre 2026"},"absolute_dates_time":{"created":"Publicado el 29 enero 2020 18 h 12 min","modified":"Actualizado el 7 octubre 2026 17 h 44 min"},"featured_img_caption":"","series_order":"","_links":{"self":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/108010","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/comments?post=108010"}],"version-history":[{"count":4,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/108010\/revisions"}],"predecessor-version":[{"id":141949,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/posts\/108010\/revisions\/141949"}],"wp:attachment":[{"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/media?parent=108010"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/categories?post=108010"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.superprof.es\/diccionario\/wp-json\/wp\/v2\/tags?post=108010"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}