A) \[\frac{4}{\log 2}\]
B) \[-4\log 2\]
C) \[\frac{-4}{\log 2}\]
D) None of these
Correct Answer: C
Solution :
\[y=\frac{\log \tan x}{\log \sin x}\] Þ \[\frac{dy}{dx}=\frac{(\log \sin x)\left( \frac{{{\sec }^{2}}x}{\tan x} \right)-(\log \tan x)(\cot x)}{{{(\log \sin x)}^{2}}}\] Þ \[{{\left( \frac{dy}{dx} \right)}_{\pi /4}}=\frac{-4}{\log 2}\] (On simplification).You need to login to perform this action.
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