{"3oti0":{"state":{"logoProps":{"url":"https://yandex.com.tr"},"formProps":{"action":"https://yandex.com.tr/search","searchLabel":"Bul"},"services":{"activeItemId":"answers","items":[{"url":"https://yandex.com.tr/gundem","title":"Gündem","id":"agenda"},{"url":"https://yandex.com.tr/yacevap","title":"YaCevap","id":"answers"},{"url":"https://yandex.com.tr/video/search?text=popüler+videolar","title":"Video","id":"video"},{"url":"https://yandex.com.tr/gorsel","title":"Görsel","id":"images"}]},"userProps":{"loggedIn":false,"ariaLabel":"Menü","plus":false,"birthdayHat":false,"child":false,"className":"PortalHeader-User"},"userIdProps":{"flag":"skin","lang":"tr","host":"yandex.com.tr","project":"neurolib","queryParams":{"utm_source":"portal-neurolib"},"retpath":"https%3A%2F%2Fyandex.com.tr%2Fyacevap%2Fc%2Fbilim-ve-egitim%2Fq%2Flnx-turevi-nasil-bulunur-1822941030%3Flr%3D213%26ncrnd%3D75718","tld":"com.tr"},"suggestProps":{"selectors":{"form":".HeaderForm","input":".HeaderForm-Input","submit":".HeaderForm-Submit","clear":".HeaderForm-Clear","layout":".HeaderForm-InputWrapper"},"suggestUrl":"https://yandex.com.tr/suggest/suggest-ya.cgi?show_experiment=222&show_experiment=224","deleteUrl":"https://yandex.com.tr/suggest-delete-text?srv=web&text_to_delete=","suggestPlaceholder":"Yapay zeka ile bul","platform":"desktop","hideKeyboardOnScroll":false,"additionalFormClasses":["mini-suggest_theme_tile","mini-suggest_overlay_tile","mini-suggest_expanding_yes","mini-suggest_prevent-empty_yes","mini-suggest_type-icon_yes","mini-suggest_personal_yes","mini-suggest_type-icon_yes","mini-suggest_rich_yes","mini-suggest_overlay_dark","mini-suggest_large_yes","mini-suggest_copy-fact_yes","mini-suggest_clipboard_yes","mini-suggest_turboapp_yes","mini-suggest_expanding_yes","mini-suggest_affix_yes","mini-suggest_carousel_yes","mini-suggest_traffic_yes","mini-suggest_re-request_yes","mini-suggest_source_yes","mini-suggest_favicon_yes","mini-suggest_more","mini-suggest_long-fact_yes","mini-suggest_hide-keyboard_yes","mini-suggest_clear-on-submit_yes","mini-suggest_focus-on-change_yes","mini-suggest_short-fact_yes","mini-suggest_app_yes","mini-suggest_grouping_yes","mini-suggest_entity-suggest_yes","mini-suggest_redesigned-navs_yes","mini-suggest_title-multiline_yes","mini-suggest_type-icon-wrapped_yes","mini-suggest_fulltext-highlight_yes","mini-suggest_fulltext-insert_yes","mini-suggest_lines_multi"],"counter":{"service":"neurolib_com_tr_desktop","url":"//yandex.ru/clck/jclck","timeout":300,"params":{"dtype":"stred","pid":"0","cid":"2873"}},"noSubmit":false,"formAction":"https://yandex.com.tr/search","tld":"com.tr","suggestParams":{"srv":"serp_com_tr_desktop","wiz":"TrWth","yu":"3559058371747116338","lr":213,"uil":"tr","fact":1,"v":4,"use_verified":1,"safeclick":1,"skip_clickdaemon_host":1,"rich_nav":1,"verified_nav":1,"rich_phone":1,"use_favicon":1,"nav_favicon":1,"mt_wizard":1,"history":1,"nav_text":1,"maybe_ads":1,"icon":1,"hl":1,"n":10,"portal":1,"platform":"desktop","mob":0,"extend_fw":1,"suggest_entity_desktop":"1","entity_enrichment":"1","entity_max_count":"5"},"disableWebSuggest":false},"context":{"query":"","reqid":"1747116342712734-1599704173076833511-balancer-l7leveler-kubr-yp-vla-28-BAL","lr":"213"},"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"3otiw01-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"header"}}}}},"type":"neuro_library","subtype":"header"},"3oti1":{"state":{"links":[{"id":"useful-tips","title":"Faydalı İpuçları","url":"/yacevap/c/faydali-ipuclari","target":"_self"},{"id":"technologies","title":"Teknoloji","url":"/yacevap/c/teknoloji","target":"_self"},{"id":"science-and-education","title":"Bilim ve Eğitim","url":"/yacevap/c/bilim-ve-egitim","target":"_self"},{"id":"economics-and-finance","title":"Ekonomi ve Finans","url":"/yacevap/c/ekonomi-ve-finans","target":"_self"},{"id":"food","title":"Yemek","url":"/yacevap/c/yemek","target":"_self"},{"id":"sport","title":"Spor","url":"/yacevap/c/spor","target":"_self"},{"id":"auto","title":"Otomobil","url":"/yacevap/c/otomobil","target":"_self"},{"id":"games","title":"Oyun","url":"/yacevap/c/oyun","target":"_self"},{"id":"beauty-and-style","title":"Güzellik ve Moda","url":"/yacevap/c/guzellik-ve-moda","target":"_self"},{"id":"travel","title":"Seyahat","url":"/yacevap/c/seyahat","target":"_self"}],"activeLinkId":"science-and-education","title":"Kategoriler","baobab":{"parentNode":{"context":{"genInfo":{"prefix":"3otiw02-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"header-categories"}}}}},"type":"neuro_library","subtype":"header-categories"},"3oti2":{"state":{"markdown":"**lnx fonksiyonunun türevi 1/x şeklindedir** [```1```](https://www.cuemath.com/calculus/derivative-of-ln-x/)[```2```](https://www.etkinders.com.tr/lnx-turevi/).\n\nBu sonucu bulmak için iki farklı yöntem kullanılabilir:\n\n1. **İlk prensip (türevin tanımı) kullanılarak** [```1```](https://www.cuemath.com/calculus/derivative-of-ln-x/):\n f'(x) = limh→0 [ln(x + h) - lnx] / h = limh→0 [ln(x + h) / x + h] / h = 1/x [```1```](https://www.cuemath.com/calculus/derivative-of-ln-x/)[```5```](https://www.bylge.com/@pow/lnx'in-t%C3%BCrevi-9obi8T5uVn).\n\n2. **Örtük diferansiyel yöntemi kullanılarak** [```1```](https://www.cuemath.com/calculus/derivative-of-ln-x/):\n f(x) = lnx → f'(x) = d/dx (lnx) = 1/x [```1```](https://www.cuemath.com/calculus/derivative-of-ln-x/)[```4```](https://eodev.com/gorev/1804667).","sources":[{"sourceId":1,"url":"https://www.cuemath.com/calculus/derivative-of-ln-x/","title":"Derivative of Ln X (Natural Log) - Formula | Differentiation of...","shownUrl":"https://www.cuemath.com/calculus/derivative-of-ln-x/"},{"sourceId":2,"url":"https://www.etkinders.com.tr/lnx-turevi/","title":"Ln(X) Fonksiyonunun Türevi Nedir? - EtkinDers","shownUrl":"https://www.etkinders.com.tr/lnx-turevi/"},{"sourceId":3,"url":"https://kunduz.com/tr/konular/turev/turev-alma-kurallari/turev-alma-kurallari/","title":"Türev Alma Kuralları Konu Anlatımı (Videolu), Örnek... - Kunduz","shownUrl":"https://kunduz.com/tr/konular/turev/turev-alma-kurallari/turev-alma-kurallari/"},{"sourceId":4,"url":"https://eodev.com/gorev/1804667","title":"Lnx in Türevi Nedir?Unuttum Suan - Eodev.com","shownUrl":"https://eodev.com/gorev/1804667"},{"sourceId":5,"url":"https://www.bylge.com/@pow/lnx'in-t%C3%BCrevi-9obi8T5uVn","title":"Lnx'in Türevi - Bylge","shownUrl":"https://www.bylge.com/@pow/lnx'in-t%C3%BCrevi-9obi8T5uVn"}],"searchUrl":"/search?text=Lnx+t%C3%BCrevi+nas%C4%B1l+bulunur%3F","isHermione":false,"headerProps":{"header":"Lnx türevi nasıl bulunur?","homeUrl":"/yacevap","categoryUrl":"/yacevap/c/bilim-ve-egitim","categoryTitle":"Bilim ve Eğitim","canUseNativeShare":false,"extralinksItems":[{"variant":"reportFeedback","reportFeedback":{"feature":"YazekaAnswers","title":"Bu yanıtta yanlış olan nedir?","checkBoxLabels":[{"value":"Uygunsuz veya aşağılayıcı yanıt"},{"value":"Soruma yanıt verilmedi"},{"value":"Bilgi hataları var"},{"value":"Bilgi yetersiz"},{"value":"Bilgiler güncel değil"},{"value":"Görüntüleme hataları"},{"value":"Yanıtta kullanılan kaynaklar güvenilir değil"},{"value":"Bu sorgu için yapay zeka cevabı uygun değil"},{"value":"Diğer"}]}}]},"feedbackProps":{"feature":"YazekaAnswers","baseProps":{"metaFields":{"yandexuid":"3559058371747116338","reqid":"1747116342712734-1599704173076833511-balancer-l7leveler-kubr-yp-vla-28-BAL"}},"positiveCheckboxLabels":[{"value":"Yanıtı çok beğendim"},{"value":"Yanıtta gerekli bilgiler var"},{"value":"Kolay anlaşılır"},{"value":"Diğer"}],"negativeCheckboxLabels":[{"value":"Uygunsuz veya aşağılayıcı yanıt"},{"value":"Soruma yanıt verilmedi"},{"value":"Bilgi hataları var"},{"value":"Bilgi yetersiz"},{"value":"Bilgiler güncel değil"},{"value":"Görüntüleme hataları"},{"value":"Yanıtta kullanılan kaynaklar güvenilir değil"},{"value":"Bu sorgu için yapay zeka cevabı uygun değil"},{"value":"Diğer"}]},"dialogStoreProps":{"baseUrl":""},"globalStoreProps":{"imageBackendUrl":"https://yandex.com.tr/images-apphost/image-download?cbird=171","query":"","retina":false,"avatarId":"0","isHermione":false,"isMacOS":false,"tld":"com.tr","isEmbeddedFuturis":false},"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"3otiw03-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"question"}}}}},"type":"neuro_library","subtype":"question"},"3oti3":{"state":{"isIos":false,"isQuestionPage":true,"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"3otiw04-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"neuro_library","subtype":"buttons_right"}}}}},"type":"neuro_library","subtype":"buttons_right"},"3oti4":{"state":{"disclaimer":"Seçili sitelerdeki metinlere göre Yazeka tarafından oluşturulan yanıtlardır. Hatalar içerebilir. Önemli bilgileri kontrol ediniz.","generalLinks":[{"id":"privacy-policy","text":"Gizlilik politikası","url":"https://yandex.com.tr/legal/privacy_policy/"},{"id":"terms-of-service","text":"Kullanıcı sözleşmesi","url":"https://yandex.com.tr/legal/tos/"},{"id":"report-error","text":"Hata bildir","url":"https://yandex.com.tr/support/abuse/troubleshooting/"},{"id":"about-company","text":"Şirket hakkında","url":"https://yandex.com.tr/project/portal/contacts/"}],"copyright":{"url":"https://yandex.com.tr","currentYear":2025},"socialLinks":[{"type":"tiktok","url":"https://redirect.appmetrica.yandex.com/serve/677728751613663494","title":"TikTok"},{"url":"https://redirect.appmetrica.yandex.com/serve/173325632992778150","type":"youtube","title":"Youtube"},{"url":"https://redirect.appmetrica.yandex.com/serve/677728793472889615","type":"facebook","title":"Facebook"},{"url":"https://redirect.appmetrica.yandex.com/serve/1182131906657966033","type":"instagram","title":"Instagram"},{"url":"https://redirect.appmetrica.yandex.com/serve/893945194569821080","type":"x","title":"X"}],"baobab":{"parentNode":{"context":{"genInfo":{"prefix":"3otiw05-0-1"},"ui":"desktop","service":"neurolib","fast":{"name":"portal","subtype":"footer"}}}}},"type":"portal","subtype":"footer"}}