Differentiate using the Quotient Rule which states that is where and .

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

Differentiate using the Power Rule which states that is where .

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

Add and .

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

Apply the product rule to .

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Simplify the numerator.

Simplify each term.

Multiply by .

Move to the left of .

Multiply by .

Multiply .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Combine the opposite terms in .

Add and .

Add and .

Find the Derivative Using Quotient Rule – d/dx (x+3)/(y(z+5))