Find the derivative of the function: f(x)=e^x^3 + 2x

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`f(x)=e^(x^3) + 2x`

Differentiating with respect to x, by the method of chain rule of differentiation (for the first differential),

`d/dx of f(x), or f'(x)=(3x^2)*e^(x^3) + 2*1`

`=3x^2*e^(x^3) + 2`

Therefore, derivative of the function `f(x) = e^(x^3)+2x` is `3x^2*e^(x^3) + 2`

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