# Find the point where the tangent line is horizontal ## How to Find The Point Where The Graph has a Horizontal

1 Answer. The tangent line to the graph of f ( x) is horizontal at any point x such that f ′ ( x) = 0. To use your example, f ′ ( x) = 6 x 2 + 6 x − 36. Now find which values for x satisfy f ′ ( x) = 0. when ## Finding the Equation of a Tangent Line

Find the Horizontal Tangent Line y=x^2-9. Set as a function of . Find the derivative. Tap for more steps By the Sum Rule, the derivative of with respect to is . Differentiate using the Power Rule ## Equation of Tangent and Normal

This calculus video tutorial explains how to find the point where the graph has a horizontal tangent line using derivatives. You need to know the slope of a horizontal tangent line is

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