Question Bank [2022] — Maths STD 12 Science — Question
Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]2 Marks
Question
Differentiate $\sin^2 (\sin^{−1}(x^2))$ w.r. to $x$
✓
Answer
$ \text { Let } y=\sin ^2\left[\sin ^{-1}\left(x^2\right)\right]$
$=\left[\sin \left\{\sin ^{-1}\left(x^2\right)\right\}\right]^2$
$=\left(x^2\right)^2$
$\therefore y=x^4 $
Differentiating w. r. t. x, we get
$\frac{ d y}{ d x}=\frac{ d }{ d x}\left(x^4\right)=4 x ^3$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.