What is the domain of the derivative of ln x?

1 Answer
Jim H
Mar 30, 2015

The domain of the derivative of lnx is (0, oo).

The domain of f' is a subsest of the domain of f.

Because the domain of lnx is (0, oo), the domain of its derivative
which is defined to be: lim_(hrarr0)(ln(x+h)-lnx)/h cannot include any negative numbers.

Of course, we know that the derivative of f(x) = ln(x) is f'(x) = 1/x, which, as the derivative of ln has domain (0, oo).

Related questions
See all questions in Differentiating Logarithmic Functions without Base e
Impact of this question
5823 views around the world
You can reuse this answer
Creative Commons License