Differentiate the following functions with respect to `2^x^3`

Explanation

Let `y=2^{x^{3}}`


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



`frac{d y}{d x}=frac{d}{d x}(2^{x^{2}})`



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



`Rightarrow frac{d y}{d x}=2^{x^{2}} log 2 frac{d}{d x}(x^{3})`


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