Assume that x and y are both differentiable functions of t and are related by the equation y=cos(3x). Find dy/dt when x=π/6, given dx/dt=−7 when x=π/6.

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
Section4.4: Derivatives Of Exponential Functions
Problem 13E
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Assume that x and y are both differentiable functions of t and are related by the equation

y=cos(3x).

 

Find dy/dt when x=π/6, given dx/dt=−7 when x=π/6.

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