If y= (2 ^ -1 x ), then d y d x = - Vidyadip

MCQ

If $y=\sin \left(2 \sin ^{-1} x\right)$, then $\frac{d y}{d x}=$

✓
$\frac{2-4 x^2}{\sqrt{1-x^2}}$
B
$\frac{2+4 x^2}{\sqrt{1-x^2}}$
C
$\frac{4 x^2-1}{\sqrt{1-x^2}}$
D
$\frac{1-2 x^2}{\sqrt{1-x^2}}$

✓

Answer

Correct option: A.

$\frac{2-4 x^2}{\sqrt{1-x^2}}$

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