# Calculus Examples

Step 1

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

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

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

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