CAT Question > If f(x) = tan−1[sinx/1+cosx], then what i...

If f(x) = tan^{−1}[sinx/1+cosx], then what is the first derivative of f(x)?

Correct answer is '1/2'. Can you explain this answer?

Let us express (sinx/1+cosx) in terms of tanx.

And, the first derivative of

Hence, the correct answer is 1/2.

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Let us express (sinx/1+cosx) in terms of tanx.And, the first derivative of Hence, the correct answer is 1/2.