# Finding where tangent line is horizontal

Find the equations of the horizontal tangent lines. \(\textbf{1)}\) \( f(x)=x^2+4x+4 \)

## Tangent Line: Definition, Formula & Newtons Method

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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## Finding the Equation of a Tangent Line

Then find the corresponding y value in the ORIGINAL equation: f ( X) = ( x − 2) ( x 2 − x − 11) to determine the two points: ( x 1, y 1), ( x 2, y 2) where the line tangent to f (x) is horizontal. y 1 =

## How to Calculate a Horizontal Tangent Line

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

## What is the tangent line?

Sorted by: 1. HINT: On implicit differentiation, 2 x + x d y d x + y + 2 y d y d x = 0. d y d x denotes the tangent line at ( x, y) The slope/gradient of horizontal tangent line = 0. This will give us a

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## 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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