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

Explanation

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

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


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


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


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

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