Let w(x, y, z) = x² + y² + z² where x = sin(7t), y = cos(-3t), z = e-4t. dx dy dz dw dt dt' dt dt Calculate dx by first finding & and using the chain rule.

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 2E
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F question 12
Let w(x, y, z) = x² + y² + z² where x = sin (7t), y = cos(- 3t), z = e-4t.
dw
dx dy
dz
& and using the chain rule.
dt
dt
dt
dt
Calculate
dx
dt
dt
dz
dt
||
||
by first finding
||
Now use the chain rule to calculate the following:
dw
dt
Check Answer
"
[243
116,538
80
AUG
15
@
Transcribed Image Text:Let w(x, y, z) = x² + y² + z² where x = sin (7t), y = cos(- 3t), z = e-4t. dw dx dy dz & and using the chain rule. dt dt dt dt Calculate dx dt dt dz dt || || by first finding || Now use the chain rule to calculate the following: dw dt Check Answer " [243 116,538 80 AUG 15 @
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