# Calculus Examples

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 .

Set the derivative equal to .

Divide each term in by .

Cancel the common factor of .

Cancel the common factor.

Divide by .

Divide by .

Substitute the values of which cause the derivative to be into the original function.

Raising to any positive power yields .

Multiply by .

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.

Interval Notation:

Set-Builder Notation:

Since there are no values of where the derivative is undefined, there are no additional critical points.