`f(x) = ln(x^2 - 2x)` Differentiate f and find the domain of f.

Textbook Question

Chapter 3, 3.6 - Problem 29 - Calculus: Early Transcendentals (7th Edition, James Stewart).
See all solutions for this textbook.

1 Answer | Add Yours

embizze's profile pic

embizze | High School Teacher | (Level 2) Educator Emeritus

Posted on

Differentiate `f(x)=ln(x^2-2x) ` and find the domain of f:

The domain is all possible inputs. The natural logarithm is defined for all inputs greater than 0, so `x^2-2x>0 ==> x<0,x>2 ` .

The derivative of `ln(u) ` is `(u')/u ` where u is a differentiable function of x.

`f'(x)=(2x-2)/(x^2-2x) `

We’ve answered 319,639 questions. We can answer yours, too.

Ask a question