Answer
$f'(x) = 40x^3-32$
Work Step by Step
$f(x) = 10x^4-32x+e^2$
Using Power rule:
$f'(x) = 10(4)x^{4-1}-32(1)x^{1-1}+(0)e^2x^{0-1} = 40x^3-32$
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