If y= ( ^ -1 x ), then d y d x at x=1, is equal to - Vidyadip

MCQ

If $y=\sec \left(\tan ^{-1} x\right)$, then $\frac{d y}{d x}$ at $x=1$, is equal to

A
$\frac{1}{2}$
B
1
✓
$\frac{1}{\sqrt{2}}$
D
2

✓

Answer

Correct option: C.

$\frac{1}{\sqrt{2}}$

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