To apply the Chain Rule, set as .

Differentiate using the Power Rule which states that is where .

Replace all occurrences of with .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Factor out of .

Combine fractions.

Simplify the expression.

Apply the product rule to .

Raise to the power of .

Combine and .

Combine and .

Since is constant with respect to , the derivative of with respect to is .

Combine fractions.

Combine and .

Multiply by .

Differentiate using the Power Rule which states that is where .

Simplify the expression.

Multiply by .

Reorder terms.

Find the Derivative – d/dx y=(arctan(5x))^2