How would you solve this using the chain rule?

Question

G(x)=(f(x))^7
and suppose that
a^6=2, f(a)=3, f'(a)=9, f'(a^7)=9
find G'(a)

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Answer 1 · 2016-10-31T19:16:38

#G'(a)=7 (3)^6 (9)=45927#

#G(x)=(f(x))^7#

Use chain rule #(f(g(x))'=f'(g(x)) * g'(x)#

#G'(x)=7 (f(x))^6 * f'(x)#

#G'(a)=7 (f(a))^6 * f'(a)#

#G'(a)=7 (3)^6 (9)=45927#