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Continuity and Differentiability — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsContinuity and Differentiability1 Mark
Question
If $f(x)=x \sin x$ then find $f^{\prime}\left(\frac{\pi}{2}\right)$.
✓

Answer

$
\begin{aligned}
f^{\prime}(x) & =x \cos x+\sin x \\
f^{\prime}\left(\frac{\pi}{2}\right) & =\frac{\pi}{2} \cos \frac{\pi}{2}+\sin \frac{\pi}{2}=\frac{\pi}{2} \times 0+1 \\
& =1
\end{aligned}
$

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