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.
Chapter6: Applications Of The Derivative
Section6.3: Implicit Differentiation
Problem 24E
Related questions
Question
![Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your answer analytically.
(a)
y = x1/2,
(9, 3)
10
8
y
4-
(9, 3)
2-
4
6
8
10
y' = 3](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35130480-ce61-412d-a9bb-70fe97997c47%2F022ba602-3307-4492-a170-6745a8788c55%2F17gsbws_processed.png&w=3840&q=75)
Transcribed Image Text:Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your answer analytically.
(a)
y = x1/2,
(9, 3)
10
8
y
4-
(9, 3)
2-
4
6
8
10
y' = 3
![(b) y = x2,
(3, 9)
10
3, 9)
8-
y
2
8.
10
y' =
6,
4,
4.
2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F35130480-ce61-412d-a9bb-70fe97997c47%2F022ba602-3307-4492-a170-6745a8788c55%2Fd6ahz9_processed.png&w=3840&q=75)
Transcribed Image Text:(b) y = x2,
(3, 9)
10
3, 9)
8-
y
2
8.
10
y' =
6,
4,
4.
2.
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