Question
Download Solution PDFयदि y = sin (log cos x) तो \(\rm \frac{dy}{dx}\) का मूल्य क्या है?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFअवधारणा:
अवकलन सूत्र
\(\rm \frac{d\: (sin x)}{dx}\) = cos x
\(\rm \frac{d\: (log \: x)}{dx} = \frac{1}{x}\)
\(\rm \frac{d\: (cos\: x)}{dx} \) = - sin x
त्रिकोणमिति सूत्र
\(\rm tan\: \theta = \frac{sin \: \theta }{cos\: \theta }\)
गणना:
दिया हुआ: y = sin (log cos x)
x के संबंध में अवकलन
\(\rm \frac{dy}{dx}\) = \(\rm \frac{d\;\left \{sin\: (log (cos \:x )) \right \} }{dx}\)
= cos (log (cos x)). \(\rm \frac{d\;\left \{ (log (cos\: x )) \right \} }{dx}\)
= cos (log (cos x)). \(\rm \frac{1}{cos\: x}\) \(\)\(\frac{d\: (cos \:x)}{dx}\)
= cos (log (cos x)). \(\rm \frac{1}{cos\: x}\) .(- sin x)
= - cos (log (cos x)). \(\rm \frac{sin\: x }{cos\: x}\)
= - cos (log (cos x)).tan x
\(\rm \frac{dy}{dx}\) = - cos (log (cos x)).tan x
Last updated on Jun 11, 2025
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