# Calculus Examples

Set as a function of .
Find the derivative.
By the Sum Rule, the derivative of with respect to is .
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 .
Since is constant with respect to , the derivative of with respect to is .
Divide each term by and simplify.
Divide each term in by .
Reduce the expression by cancelling the common factors.
Cancel the common factor.
Divide by .
Divide by .
Solve the original function at .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Remove parentheses.
Raising to any positive power yields .
Multiply by .
The horizontal tangent lines on function are .