# Calculus Examples

,

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

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 .

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 .

Simplify each term.

Remove parentheses around .

Raise to the power of to get .

Multiply by to get .

Add and to get .

Use the point-slope formula , where and are the values of the point and is the slope of the tangent line.

The slope-intercept form is , where is the slope and is the y-intercept.

Rewrite in slope-intercept form.

Simplify the right side.

Multiply by to get .

Apply the distributive property.

Multiply by to get .

Move all terms not containing to the right side of the equation.

Add to both sides of the equation.

Subtract from to get .