Let F(x)=f(x^6) and G(x)=(f(x))^6 and suppose that a^5=2,  f(a)=3,   f′(a)=3,    f′(a^6)=10 Find F′(a) and G′(a).

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.3: Algebraic Expressions
Problem 32E
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Let F(x)=f(x^6) and G(x)=(f(x))^6 and suppose that

a^5=2,  f(a)=3,   f′(a)=3,    f′(a^6)=10

Find F′(a) and G′(a).

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