To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Multiply by the reciprocal of the fraction to divide by .

Multiply by .

Rewrite as .

Multiply the exponents in .

Apply the power rule and multiply exponents, .

Multiply by .

Differentiate using the Power Rule which states that is where .

Move .

Use the power rule to combine exponents.

Add and .

Move to the left of .

Rewrite the expression using the negative exponent rule .

Combine and .

Move the negative in front of the fraction.

Find the Derivative – d/dx natural log of 1/(x^2)