Given that $y=\sin \left( {{\mathrm{e}}^{x}}-1 \right)$. Show that \(\frac{{{\mathrm{d}}

Question

Given that $y=\sin \left( {{\mathrm{e}}^{x}}-1 \right)$. Show that $\frac{{{\mathrm{d}}^{2}}y}{\mathrm{d}{{x}^{2}}}=\frac{\mathrm{d}y}{\mathrm{d}x}-y{{\mathrm{e}}^{2x}}$.

Accepted Answer

$\frac{\mathrm d^2y}{\mathrm dx^2}=\frac{\mathrm dy}{\mathrm dx}-ye^{2x}$

Techniques of Differentiation - Second and Higher Derivatives

Techniques of Differentiation - Second and Higher Derivatives

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