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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Application +4 | -1
If f(x)=1+cos⁡2(x)2f\left( x \right) = \sqrt {1 + {{\cos }^2}{{\left( x \right)}^2}}, then the value of f′(π2)f'\left( {\frac{{\sqrt \mathrm{\pi } }}{2}} \right) is
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Correct option: B
−π6- \sqrt {\frac{\mathrm{\pi }}{6}}
Option B (−π6- \sqrt {\frac{\mathrm{\pi }}{6}}) is correct because it is the value of the derivative of the given function evaluated at x=π2x = \frac{{\sqrt \mathrm{\pi } }}{2}.

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