Chain rule and implicit differentiation Suppose that F(r, y, 2) = 0 defines z as a function of z and y and F is differentiable. Prove that dr dy (a) (b) OF (c)
Chain rule and implicit differentiation Suppose that F(r, y, 2) = 0 defines z as a function of z and y and F is differentiable. Prove that dr dy (a) (b) OF (c)
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 37E: Use graphical differentiation to verify that ddxex=ex.
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Transcribed Image Text:Chain rule and implicit differentiation
Suppose that F(r, y, 2) = 0 defines z as a function of a and y and F is differentiable.
Prove that
dr dy
= 1
dy dr
(a)
ôy dz dr
(b)
OF
(c)
dy
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