How do you find the derivative of $e^(2x)(x^2+5)$ ?

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Answer 1 · 2018-07-10T21:49:31

$f'(x)=2(x^2+x+5)e^{2x}$

Differentiating given function w.r.t. $x$ as follows

$\frac{d}{dx}e^{2x}(x^2+5)$

$=e^{2x}\frac{d}{dx}(x^2+5)+(x^2+5)\frac{d}{dx}e^{2x}$

$=e^{2x}(2x)+(x^2+5)(2e^{2x})$

$=2(x^2+x+5)e^{2x}$

How do you find the derivative of e^(2x)(x^2+5)e^(2x)(x^2+5)?