# Calculus Examples

Differentiate both sides of the equation.

The derivative of with respect to is .

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

Differentiate.

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 .

Differentiate using the Power Rule which states that is where .

Simplify by adding terms.

Multiply by .

Remove unnecessary parentheses.

Add and .

Reform the equation by setting the left side equal to the right side.

Replace with .

Rewrite the equation as .

Add to both sides of the equation.

Divide each term by and simplify.

Divide each term in by .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by .

Divide by .

Remove the extra parentheses.

Simplify .

Multiply by .

Subtract from .

Find the points where .