Suppose y = √ 2x + 1, where x and y are functions of t. dx (a) If = 12, find dt dy dt dy (b) If = 3, find dt dx dt = dy dt dx dt when x = 4. when x = 12.

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.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 7E: Find the derivative of each function defined as follows. y=8x+6x3/4
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Suppose y = √2x + 1, where x and y are functions of t.
(a) If
dx
dt
dy
dt
=
dx
dt
200
dy
(b) If = 3, find
dt
=
dy
dt
12, find when x = 4.
dx
dt
when x = 12.
Transcribed Image Text:Suppose y = √2x + 1, where x and y are functions of t. (a) If dx dt dy dt = dx dt 200 dy (b) If = 3, find dt = dy dt 12, find when x = 4. dx dt when x = 12.
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