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IIT-JEE 2011 Paper 1 Offline

Numerical
Let $$f\left( \theta \right) = \sin \left( {{{\tan }^{ - 1}}\left( {{{\sin \theta } \over {\sqrt {\cos 2\theta } }}} \right)} \right),$$ where $$ - {\pi \over 4} < \theta < {\pi \over 4}.$$

Then the value of $${d \over {d\left( {\tan \theta } \right)}}\left( {f\left( \theta \right)} \right)$$ is

Your Input ________

Answer

Correct Answer is 1
2

IIT-JEE 2009

Numerical
If the function $$f\left( x \right) = {x^3} + {e^{{x \over 2}}}$$ and $$g\left( x \right) = {f^{ - 1}}\left( x \right)$$, then the value of $$g'(1)$$ is
Your Input ________

Answer

Correct Answer is 2

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