Write a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) at dz at = = dz dr dr dz dz at dr dr ds dt 3² -- dt dr 비 ds + dz ds ds dt dz dt ds ds

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.CR: Chapter 4 Review
Problem 2CR: Determine whether each of the following statements is true or false, and explain why. The derivative...
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Write a chain rule formula for the following derivative.
for z = f(r, s); r = g(t), s = h(t)
at
=
at
at dr
=
ds
dt
dz dr
ele
dz
dr dr
3² --
at
dz
dr ds
+
dz ds
ds dt
dz dt
ds ds
Transcribed Image Text:Write a chain rule formula for the following derivative. for z = f(r, s); r = g(t), s = h(t) at = at at dr = ds dt dz dr ele dz dr dr 3² -- at dz dr ds + dz ds ds dt dz dt ds ds
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