Differentiate using the Quotient 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 .

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

Move to the left of .

Differentiate using the Power Rule which states that is where .

Multiply by .

By the Sum Rule, the derivative of with respect to is .

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

Add and .

To apply the Chain Rule, set as .

The derivative of with respect to is .

Replace all occurrences of with .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

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

Multiply by .

Differentiate using the Power Rule which states that is where .

Multiply by .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify the numerator.

Simplify each term.

Multiply by .

Multiply .

Raise to the power of .

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Factor out of .

Reorder and .

Factor out of .

Factor out of .

Factor out of .

Apply pythagorean identity.

Multiply by .

Apply the distributive property.

Multiply by .

Find the Derivative – d/dx y=(sec(2x))/(1+tan(2x))