Solution forizontal tangents occur where the derivative is zero. We have - 14 (x²) + (9) 4x Thus = 0 if x = 0 or = 0, that is, x = ± st). The corresponding points are then the following. mallest x-value (x, y) = (x, y) = (x, y) = argest x-value . So the given curve has horizontal tangents when x = (enter your answers as a comma-separated

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.1: Parabolas
Problem 68E
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Example 6
Video Example <
Find the points on the curve y = x² - 14x² + 9 where the tangent line is horizontal.
y
W.
Solution
Horizontal tangents occur where the derivative is zero. We have
- 14 (x²)+(9)
dy d
dx dx
dy
Thus = 0 if x = 0 or
list). The corresponding points are then the following.
smallest x-value
(x, y) =
largest x-value
= 4x
(x, y) =
(x, y) =
= 0, that is, x = t
. So the given curve has horizontal tangents when x=
(enter your answers as a comma-separated
Transcribed Image Text:Example 6 Video Example < Find the points on the curve y = x² - 14x² + 9 where the tangent line is horizontal. y W. Solution Horizontal tangents occur where the derivative is zero. We have - 14 (x²)+(9) dy d dx dx dy Thus = 0 if x = 0 or list). The corresponding points are then the following. smallest x-value (x, y) = largest x-value = 4x (x, y) = (x, y) = = 0, that is, x = t . So the given curve has horizontal tangents when x= (enter your answers as a comma-separated
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