Differentiate the following functions with respect to `3^{e^x}`

Explanation

Let `y=3^{e^{x}}`

On differentiating `y` with respect to `x`, we get

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`frac{d y}{d x}=frac{d}{d x}(3^{e^{x}})`

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We know `frac{d}{d x}(a^{x})=a^{x} log a`

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`Rightarrow frac{d y}{d x}=3^{e^{x}} log 3 frac{d}{d x}(e^{x})`

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