# Calculus Examples

Find Where dy/dx is Equal to Zero
Differentiate both sides of the equation.
The derivative of with respect to is .
Differentiate the right side of the equation.
Differentiate using the Product Rule which states that is where and .
Differentiate.
By the Sum Rule, the derivative of with respect to is .
Differentiate using the Power Rule which states that is where .
Since is constant with respect to , the derivative of with respect to is .
Simplify the expression.
Multiply by .
Differentiate using the Power Rule which states that is where .
Multiply by .
Remove unnecessary parentheses.
Reform the equation by setting the left side equal to the right side.
Replace with .
Set then solve for in terms of .
Rewrite the equation as .
Add to both sides of the equation.
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 for .
Remove the extra parentheses.
Simplify the right side.
Multiply by .
Subtract from .
Find the points where .