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Differentiation question

2011 · Shift 1 · Q33

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PYQ Library
JEE Advanced
Mathematics
Differentiation
2011 · Shift 1 · Q33

Differentiation question

2011 · Shift 1 · Q33

JEE AdvancedMathematicsDifferentiationNumerical+4 / −1

Let

f\left( \theta \right) = \sin \left( {{{\tan }^{ - 1}}\left( {{{\sin \theta } \over {\sqrt {\cos 2\theta } }}} \right)} \right),

where

- {\pi \over 4} \lt \theta \lt {\pi \over 4}.

Then the value of

{d \over {d\left( {\tan \theta } \right)}}\left( {f\left( \theta \right)} \right)

is

Numerical answer

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