How do I find the derivative of f(x)=ln(x^2)?

1 Answer
Mar 2, 2018

Using Chain Rule, the answer is 2/x

Explanation:

The Chain Rule is:

(df)/(du) * (du)/(dx)

where f is the general function

where u is the function within the function

Here, f=ln(u) and u=x^2

Now, we can substitute:

d/(du)ln(u) * d/(dx)x^2

Find the respective derivatives:

=1/u * 2x

Since u=x^2, we can substitute:

1/x^2 * 2x

x and x cancel out:

1/x * 2

=2/x