To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Rewrite as .

Differentiate using the Power Rule which states that is where .

Simplify the expression.

Move to the left of .

Rewrite as .

Rewrite the expression using the negative exponent rule .

Combine and .

Combine and .

Find the Derivative – d/dx sec(1/x)