If $y=e^{\sin \left(\operatorname{cosec}^{-1} x\right)}$ , then $\frac{d y}{d x}=$

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Aicharya · Accepted Answer

Given $y=e^{\sin \left(\operatorname{cosec}^{-1} x\right)}$ $\quad=e^{\sin \left(\sin ^{-1} \frac{1}{x}\right)} \Rightarrow y=e^{\frac{1}{x}}$ $\frac{d y}{d x}=e^{\frac{1}{x}}\left(-\frac{1}{x^{2}}\right)$

If $y=e^{\sin \left(\operatorname{cosec}^{-1} x\right)}$ , then $\frac{d y}{d x}=$

Solution