Question
Asked Sep 16, 2019
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Can you please help me step by step with this problem?

Find the point (x,y) at which the graph of y 4x
2x - 9 has a horizontal tangent line.
=
The function y 4x2 +2x -9 has a horizontal tangent line at
(Type an ordered pair. Simplify your answer.)
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Find the point (x,y) at which the graph of y 4x 2x - 9 has a horizontal tangent line. = The function y 4x2 +2x -9 has a horizontal tangent line at (Type an ordered pair. Simplify your answer.)

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Expert Answer

Step 1

We need to find the point (x, y) at which the graph of y = 4x2+2x-9 has a horizontal tangent line.

Note:
The slope of the horizontal lines is 0 (m 0)
dy
= 0
i.e.
dx
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Note: The slope of the horizontal lines is 0 (m 0) dy = 0 i.e. dx

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Step 2

Here,

...
y 4x22x - 9
dy
d
(4x22x 9)
dx
dx
8x 2
dy
0
Now
dx
=> 8x + 2 = 0
1
=> x
4
1
- 9 = -9.25
For x =
4
2
5- ()
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y 4x22x - 9 dy d (4x22x 9) dx dx 8x 2 dy 0 Now dx => 8x + 2 = 0 1 => x 4 1 - 9 = -9.25 For x = 4 2 5- ()

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Math

Calculus

Derivative

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