Iff, g, and h are f A(x) = (xf)' (x²f)" differentiable functions of x and 8 h (xg)' (xh)' (x²g)" (x²h)" f f' (x³f")" denotes the derivatives. A'(x) = 00 00 8 g' (x³g") 1 prove that h h' (x³h") where prime ()
Iff, g, and h are f A(x) = (xf)' (x²f)" differentiable functions of x and 8 h (xg)' (xh)' (x²g)" (x²h)" f f' (x³f")" denotes the derivatives. A'(x) = 00 00 8 g' (x³g") 1 prove that h h' (x³h") where prime ()
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
Section4.2: Derivatives Of Products And Quotients
Problem 37E
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Transcribed Image Text:Iff, g, and h are
f
A(x) = (xf)'
(x²f)"
f
f'
(x³f")"
denotes the derivatives.
A'(x) =
differentiable
8
(xg)'
(x²g)"
functions of x and
h
(xh)'
(x²h)"
8
g'
(x³g")
I
prove that
h
h'
(x³h")
where prime ()
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