Find the derivatives of the functions. f(x)=e^{x}\ln |x|

Dolly Robinson

Dolly Robinson

Answered question

2021-06-08

Find the derivatives of the functions. f(x)=exln|x|

Answer & Explanation

Tuthornt

Tuthornt

Skilled2021-06-09Added 107 answers

First, apply the product rule to get
f(x)=(exln|x|)=(ex)ln|x|+ex(ln|x|)
Recall that
(ex)=ex
and(ln|x|)=1x
Thus
f(x)=exln|x|+ex1x=ex(ln|x|+1x)

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