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Differentiation — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsDifferentiation1 Mark
Question
Diffrentiate the following w. r. t. x.
$\sin ^4\left[\sin ^{-1}(\sqrt{x})\right]$
✓

Answer

$\text { Let } y =\sin ^4\left[\sin ^{-1}(\sqrt{x})\right]$
$=\left\{\sin \left[\sin ^{-1}(\sqrt{x})\right]\right\}^8$
$=(\sqrt{x})^4= x ^2$
Differentiating w.r.t. x, we get
$\frac{d y}{d x}=\frac{d}{d x}\left( x ^2\right)=2 X$

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