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Find the Horizontal Tangent Line y=x^2-9 y = x2 − 9 y = x 2 - 9 Set y y as a function of x x. f (x) = x2 −9 f ( x) = x 2 - 9 Find the derivative. Tap for more steps 2x 2 x Divide each term in 2x = 0 2 x =
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To clear up a math equation, first identify the problem, then find the simplest way to solve it.
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 x = − 3
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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