vpnnacsuciedu 3Work WeBl orK 20 LIMat 2A44140 Assgnment6 Pre

vpn.nacs.uci.edu 3Work WeBl orK 20 LI-Mat 2A-44140 Assgnment6 Previous Prob. List! Next Assignment6 2A: Problem 2 (1 pt) Let F(r) = f(z9) and G(z) = (f(x))\" . You also know that a8-47(a) = 2Mo) = 3, f\'(a) = 15. Find F\'(a) = and G\'(a) = Note: You can earn partial credis on this problem. Preview Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. For login help or questions with the UCI WeBWorK system click here For instructions on how to enter answers in WeBWorK click here UCI WeBWoRK Frequently Asked Questions (read this before emailing us)- Page generated at 10:27pm on Nov 17, 2015

Solution

F(x) = f(x^9)

F\'(x) = f\'(x^9) (9x^8)

Or F\'(a) = f\'(a) (9a^8)

Given that f\'(a) = 3 and a^8 = 4

Substitute to get

F\'(a) = 27(4) = 108

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G(x) = {f(x)}^9

G\'(x) = 9{f(x)}^8 f\'(x)

G\'(a) = 9{f(a)^8 f\'(a)}

=9 (2)^8 (3)

= 27(256)

=6912