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Question Number 113196 by bobhans last updated on 11/Sep/20

$$\mathrm{y}=\sinh {}^{-1}\left(\sin \mathrm{x}\right),\frac{\mathrm{dy}}{\mathrm{dx}}=?$$

Answered by MJS_new last updated on 11/Sep/20

$$(f{\left(g\left(x\right)\right)}^{\prime }=g^{\prime }\left(x\right)\times f^{\prime }\left(g\left(x\right)\right)$$$${\left({\sinh }^{-1}\sin x\right)}^{\prime }=\cos x\times \frac{1}{\sqrt{1+{\sin }^{2}x}}$$

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