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

Cem Hayes

Cem Hayes

Answered question


Find the derivatives of the functions. r(x)=ln|x+ex|

Answer & Explanation

Corben Pittman

Corben Pittman

Skilled2021-05-13Added 83 answers

Recall the generalized rule for the derivative of a natural logarithm of an absolute value:
In this exercise, we want to find the derivative of
To make use of the rule in Step 1, denote the expression inside the absolute value by u, i.e.
Using the above-mentioned rule, we get

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?