# Calculus Examples

Differentiate both sides of the equation.

The derivative of with respect to is .

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 to get .

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

Replace with .

Rewrite the equation as .

Rewrite as a set of linear factors.

Divide each term by and simplify.

Divide each term in by .

Simplify the left side of the by cancelling the common factors.

Multiply by to get .

Reduce the expression by cancelling the common factors.

Cancel the common factor.

Divide by to get .

Divide by to get .

Take the cube root of both sides of the equation to eliminate the exponent on the left side.

Rewrite as .

Pull terms out from under the radical, assuming positive real numbers.

Simplify each term.

Remove parentheses around .

Raising to any positive power yields .

Add and to get .

Find the points where .