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Question Number 185191 by Shrinava last updated on 18/Jan/23

$$\mathrm{y}=\sin \frac{1}{\mathrm{x}}\Rightarrow {\mathrm{y}}^{{}^{\prime }}=?$$

Answered by Frix last updated on 18/Jan/23

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

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