If f ( x ) = sin 3 x + log e ( x 2 + 1 ) , then f ' ( x ) is

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Solution

Q.
If $f (x) = \sin^{3} x + \log_{e} (x^{2} + 1)$ , then $f' (x)$ is

1 $3 \sin^{2} x . \cos x + \frac{2 x}{1 + x^{2}}$

2 $3 \sin^{2} x . \cos x + \frac{x}{1 + x^{2}}$

3 $2 \sin^{2} x . \cos x + \frac{2 x}{1 + x^{2}}$

4 $3 \sin^{2} x . \cos x + \frac{4 x}{1 + x^{2}}$

Ans.
(1)

$f' (x) = 3 \sin^{2} x . \cos x + \frac{2 x}{1 + x^{2}}$

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