Question
Download Solution PDF पर g(sec x) के संबंध में f(tan x) का अवकलज क्या है यदि f'(1) = 2 और g'(√2) = 4?
पर g(sec x) के संबंध में f(tan x) का अवकलज क्या है यदि f'(1) = 2 और g'(√2) = 4?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
त्रिकोणमितीय फलनों के अवकलज:
अवकलजों का श्रृंखला नियम:
गणना:
माना कि v = f(tan x) और u = g(sec x)
अब,
और
⇒
=
दिए गए मानों f'(1) = 2 और g'(√2) = 4 को प्रतिस्थापित करने पर, हम प्राप्त करते हैं:
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