Use the Chain Rule to find dz/dt. dz dt || z = √√√ 1 + x² + y², x = 2 In(t), y = cos(t) 1 √1+ (Int)² + cos² (1) In(t) t - sin(t) cos(t) X

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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Use the Chain Rule to find dz/dt.
dz
dt
||
z = √ 1 + x² + y², x = 2 In(t), y = cos(t)
1
√1+ (Int)² + cos² (t)
In(t)
t
- sin(t) cos(t)
Transcribed Image Text:Use the Chain Rule to find dz/dt. dz dt || z = √ 1 + x² + y², x = 2 In(t), y = cos(t) 1 √1+ (Int)² + cos² (t) In(t) t - sin(t) cos(t)
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