# Find the Derivative – d/dx sec(1/x)

Differentiate using the chain rule, which states that is where and .
To apply the Chain Rule, set as .
The derivative of with respect to is .
Replace all occurrences of with .
Differentiate using the Power Rule.
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 terms.
Combine and .
Combine and .
Find the Derivative – d/dx sec(1/x)