Find the derivative of each of the following w.r.t $x$: $y = 2\mathrm{e}^{3x}$ \(y = 3\mathrm{e}

Question

Find the derivative of each of the following w.r.t $x$: $y = 2\mathrm{e}^{3x}$ $y = 3\mathrm{e}^{\cos x}$ $\mathrm{f}(x) = \mathrm{e}^{2x^{4}}\mathrm{e}^{6x + 1}$

Accepted Answer

(a) $6e^{3x}$ (b) $-3\sin x\,e^{\cos x}$ (c) $(8x^3+6)e^{2x^4+6x+1}$

Techniques of Differentiation - Derivatives of Exponential Functions

Techniques of Differentiation - Derivatives of Exponential Functions

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