differentiation

Question: If $y = \sec ({\tan ^{ - 1}}x),$then $\frac{{dy}}{{dx}}$ is

1) $\frac{x}{{\sqrt {1 + {x^2}} }}$

2) $\frac{{ - x}}{{\sqrt {1 + {x^2}} }}$

3) $\frac{x}{{\sqrt {1 - {x^2}} }}$

4) None of these

Solution:

Explanation: Explanation

standard-differentiation

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