The derivative of ex is ex
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The first derivative of e to the x power is e to the power of x.
e^[ln(x^2)]=x^2, so your question is really, "What is the derivative of x^2," to which the answer is 2x.
d/dx (ex + x3) = ex + 3x2
The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.
x e^x +C