Calculus Examples

Simplify .
Tap for more steps...
Rewrite as .
Expand using the FOIL Method.
Tap for more steps...
Apply the distributive property.
Apply the distributive property.
Apply the distributive property.
Remove parentheses.
Simplify and combine like terms.
Tap for more steps...
Simplify each term.
Tap for more steps...
Use the power rule to combine exponents.
Add and to get .
Remove parentheses around .
Move to the left of the expression .
Multiply by to get .
Rewrite as .
Move .
Use the power rule to combine exponents.
Add and to get .
Simplify .
Tap for more steps...
Multiply by to get .
Multiply by to get .
Subtract from to get .
Tap for more steps...
Move .
Subtract from to get .
Differentiate both sides of the equation.
Differentiate the left side of the equation.
Tap for more steps...
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Evaluate .
Tap for more steps...
Since is constant with respect to , the derivative of with respect to is .
Differentiate using the Product Rule which states that is where and .
Rewrite as .
Differentiate using the Power Rule which states that is where .
Multiply by to get .
Evaluate .
Tap for more steps...
Differentiate using the chain rule, which states that is where and .
Tap for more steps...
To apply the Chain Rule, set as .
Differentiate using the Power Rule which states that is where .
Replace all occurrences of with .
Rewrite as .
Simplify.
Tap for more steps...
Apply the distributive property.
Remove parentheses around .
Remove parentheses.
Reorder terms.
Differentiate the right side of the equation.
Tap for more steps...
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Rewrite as .
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.
Since contains the variable to solve for, move it to the left side of the equation by subtracting from both sides.
Move all terms not containing to the right side of the equation.
Tap for more steps...
Since does not contain the variable to solve for, move it to the right side of the equation by subtracting from both sides.
Since does not contain the variable to solve for, move it to the right side of the equation by adding to both sides.
Factor out of .
Tap for more steps...
Reorder and .
Reorder and .
Reorder and .
Factor out of .
Factor out of .
Divide each term by and simplify.
Tap for more steps...
Divide each term in by .
Reduce the expression by cancelling the common factors.
Tap for more steps...
Cancel the common factor.
Divide by to get .
Simplify the right side of the equation.
Tap for more steps...
Simplify terms.
Tap for more steps...
Combine the numerators over the common denominator.
Simplify each term.
Tap for more steps...
Simplify the numerator.
Tap for more steps...
Factor out of .
Multiply by to get .
Combine the numerators over the common denominator.
Simplify the numerator.
Tap for more steps...
Apply the distributive property.
Multiply by to get .
Simplify terms.
Tap for more steps...
Factor out of .
Tap for more steps...
Rewrite as .
Move .
Multiply by to get .
Factor out of .
Tap for more steps...
Rewrite as .
Move .
Multiply by to get .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Factor out of .
Tap for more steps...
Rewrite as .
Move .
Multiply by to get .
Factor out of .
Tap for more steps...
Rewrite as .
Move .
Multiply by to get .
Factor out of .
Rewrite as .
Factor out of .
Rewrite as .
Cancel the common factor.
Rewrite the expression.
Replace with .
Enter YOUR Problem

Enter the email address associated with your Mathway account below and we'll send you a link to reset your password.

Please enter an email address
Please enter a valid email address
The email address you entered was not found in our system
The email address you entered is associated with a Facebook user
We're sorry, we were unable to process your request at this time

Mathway Premium

Step-by-step work + explanations
  •    Step-by-step work
  •    Detailed explanations
  •    No advertisements
  •    Access anywhere
Access the steps on both the Mathway website and mobile apps
$--.--/month
$--.--/year (--%)

Mathway Premium

Visa and MasterCard security codes are located on the back of card and are typically a separate group of 3 digits to the right of the signature strip.

American Express security codes are 4 digits located on the front of the card and usually towards the right.
This option is required to subscribe.
Go Back

Step-by-step upgrade complete!

Mathway requires javascript and a modern browser.
  [ x 2     1 2     π     x d x   ]