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  • Differentiate , y = (sinx)^x+ sin inversex

Differentiate the functions in, $(\sin x)^x+\sin ^{-1} \sqrt{x}$

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best_answer

Let $y=(\sin x)^x+\sin ^{-1} \sqrt{x}$

Let $u=(\sin x)^x$ \& $v=\sin ^{-1} \sqrt{x}$

$$
y=u+v
$$


Differentiating both sides w.r.t.x.

$$
\begin{aligned}
& \frac{d y}{d x}=\frac{d(u+v)}{d x} \\
& \frac{d y}{d x}=\frac{d u}{d x}+\frac{d v}{d x}
\end{aligned}
$$

Posted by

Vishal kumar

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