Let f,g: RR be differentiable everywhere. Assume that g is one-to-one function. Show that f(g(x f(g(x)) = g'(x) f' (g(x)) without using any differentiation rules.

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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
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Let f,g: R → R be differentiable everywhere. Assume that g is one-to-one function. Show that
웨이
without using any differentiation rules.
f(g(x)) = g'(x) f' (g(x))
Transcribed Image Text:Let f,g: R → R be differentiable everywhere. Assume that g is one-to-one function. Show that 웨이 without using any differentiation rules. f(g(x)) = g'(x) f' (g(x))
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9780321964038
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