= t6, y = t³, Let w(x, y, z) = −3xy arcsin(z) where x = z = 9t. dw Calculate by first finding dt dx dy dt dt dz & and using the dt chain rule. dx dt dy dt = = dz = dt Now use the chain rule to calculate the following (please enter arcsin instead of sin dw dt = whenever appropriate):
= t6, y = t³, Let w(x, y, z) = −3xy arcsin(z) where x = z = 9t. dw Calculate by first finding dt dx dy dt dt dz & and using the dt chain rule. dx dt dy dt = = dz = dt Now use the chain rule to calculate the following (please enter arcsin instead of sin dw dt = whenever appropriate):
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 10E: Find dy/dxby implicit differentiation for the following. 4x8y=6y3/2
Question
100%
![= t6, y = t³,
Let w(x, y, z) = −3xy arcsin(z) where x =
z = 9t.
dw
Calculate
by first finding
dt
dx dy
dt dt
dz
& and using the
dt
chain rule.
dx
dt
dy
dt
=
=
dz
=
dt
Now use the chain rule to calculate the following (please
enter arcsin instead of sin
dw
dt
=
whenever appropriate):](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fcda6e49b-c051-4a76-a5c7-6728a60e798b%2Fe18eea2f-35c1-49aa-84da-75bc552e6c46%2Fgoa3g8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:= t6, y = t³,
Let w(x, y, z) = −3xy arcsin(z) where x =
z = 9t.
dw
Calculate
by first finding
dt
dx dy
dt dt
dz
& and using the
dt
chain rule.
dx
dt
dy
dt
=
=
dz
=
dt
Now use the chain rule to calculate the following (please
enter arcsin instead of sin
dw
dt
=
whenever appropriate):
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