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

1 Answer

Harish Chandra Rajpoot

Jul 10, 2018

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

Explanation:

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}#

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