# Calculus Examples

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 .

Differentiate using the Power Rule which states that is where .

Multiply by .

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 .

Simplify the expression.

Add and .

Multiply by .

Apply the distributive property.

Simplify the numerator.

Remove unnecessary parentheses.

Simplify each term.

Expand using the FOIL Method.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Remove parentheses.

Simplify each term.

Multiply by by adding the exponents.

Move .

Combine and

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Move to the left of the expression .

Multiply by .

Move to the left of the expression .

Multiply by .

Multiply by .

Multiply by .

Multiply by .

Subtract from .

Add and .

Add and .