Exercise (c) Show that y = Vx has a vertical tangent line at (0, 0). ...

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
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Exercise C

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Let f(x) = Vx.
%3D
Ercise (a)
Find f '(a).
Click here to begin!
Exercise (b)
Show that f '(0) does not exist.
Click here to begin!
Exercise (c)
3
Show that y = Vx has a vertical tangent line at (0, 0).
Step 1
1
In a previous part, we found that f '(x) =
%D
· 3x2/3 :
As x → 0, we have f '(x) =
3x2/3
Since f '(x) gives the slope of the tangent line at x, we conclude that the tangent line at (0, 0) for y = Vx
is
---Select---
Transcribed Image Text:Skip Let f(x) = Vx. %3D Ercise (a) Find f '(a). Click here to begin! Exercise (b) Show that f '(0) does not exist. Click here to begin! Exercise (c) 3 Show that y = Vx has a vertical tangent line at (0, 0). Step 1 1 In a previous part, we found that f '(x) = %D · 3x2/3 : As x → 0, we have f '(x) = 3x2/3 Since f '(x) gives the slope of the tangent line at x, we conclude that the tangent line at (0, 0) for y = Vx is ---Select---
Expert Solution
Step 1

first we will find derivative of function.

So, derivative will be slope of tangent.

for vertical tangent derivative of function dy/dx must be infinity at given point.

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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,