# Calculus Examples

Set as a function of .

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

Differentiate using the Power Rule which states that is where .

Evaluate .

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 to get .

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

Add and to get .

Subtract from 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 to get .

Simplify the right side of the equation.

Divide by to get .

Multiply by to get .

Replace the variable with in the expression.

Simplify the result.

Simplify each term.

Raise to the power of to get .

Multiply by to get .

Simplify by subtracting numbers.

Subtract from to get .

Subtract from to get .

The final answer is .

The horizontal tangent lines on function are .