# Calculus Examples

,
Solve for .
Rewrite as .
Expand using the FOIL Method.
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify and combine like terms.
Simplify each term.
Use the power rule to combine exponents.
Move to the left of the expression .
Multiply by to get .
Multiply by to get .
Find the derivative.
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 .
Evaluate the derivative at , which is the slope of the tangent line at .
Multiply by to get .
Use the point-slope formula , where and are the values of the point and is the slope of the tangent line.
Simplify.
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.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Subtract from to get .

We're sorry, we were unable to process your request at this time

Step-by-step work + explanations
•    Step-by-step work
•    Detailed explanations
•    Access anywhere
Access the steps on both the Mathway website and mobile apps
$--.--/month$--.--/year (--%)