# 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.

Apply the distributive property.

Apply the distributive property.

Apply the distributive property.

Raise to the power of .

Use the power rule to combine exponents.

Add and .

Multiply by .

Move to the left of the expression .

Multiply by .

Multiply by .

Remove parentheses.

Multiply by .

Remove parentheses.

Subtract from .

Add and .

Add and .