# Calculus Examples

Step 1
Find the first derivative.
Step 1.1
Differentiate using the Power Rule which states that is where .
Step 1.2
The first derivative of with respect to is .
Step 2
Set the first derivative equal to then solve the equation .
Step 2.1
Set the first derivative equal to .
Step 2.2
Divide each term in by and simplify.
Step 2.2.1
Divide each term in by .
Step 2.2.2
Simplify the left side.
Step 2.2.2.1
Cancel the common factor of .
Step 2.2.2.1.1
Cancel the common factor.
Step 2.2.2.1.2
Divide by .
Step 2.2.3
Simplify the right side.
Step 2.2.3.1
Divide by .
Step 3
Find the values where the derivative is undefined.
Step 3.1
The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Step 4
Evaluate at each value where the derivative is or undefined.
Step 4.1
Evaluate at .
Step 4.1.1
Substitute for .
Step 4.1.2
Raising to any positive power yields .
Step 4.2
List all of the points.
Step 5