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Question

Mathematics Question on Derivatives

The derivative of f(cotx)f (cot x) with respect to g(cosecx)g (cosec x) at x=π4x=\frac{π}{4} (where f(1)=2.g(2)=4f'(1)=2.g'(\sqrt2)=4) is:

A

2\sqrt{2}

B

1

C

12\frac{1}{\sqrt{2}}

D

122\frac{1}{2\sqrt{2}}

Answer

12\frac{1}{\sqrt{2}}

Explanation

Solution

The correct option is(C):12\frac{1}{\sqrt{2}}