Question

If $f(x) = {(|x|)^{|\sin \,x|}},$ then $f'( - \pi /4)$ is equal to

Accepted Answer

${\left( {\frac{\pi }{4}} \right)^{1/\sqrt 2 }}.\left( {\frac{{\sqrt 2 }}{2}\log \,\frac{4}{\pi } - \frac{{2\sqrt 2 }}{\pi }} \right)$

Answer

${\left( {\frac{\pi }{4}} \right)^{1/\sqrt 2 }}.\left( {\frac{{\sqrt 2 }}{4}\log \,\frac{4}{\pi } + \frac{{2\sqrt 2 }}{\pi }} \right)$

Answer

${\left( {\frac{\pi }{4}} \right)^{1/\sqrt 2 }}.\left( {\frac{{\sqrt 2 }}{2}\log \,\frac{\pi }{4} - \frac{{2\sqrt 2 }}{\pi }} \right)$

Answer

${\left( {\frac{\pi }{4}} \right)^{1/\sqrt 2 }}.\left( {\frac{{\sqrt 2 }}{2}\log \,\frac{\pi }{4} + \frac{{2\sqrt 2 }}{\pi }} \right)$

JEE MATHEMATICS MCQ: DIFFERENTIATION

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