**Question:**Let $ f $ be a real-valued differentiable function and $ f(1) = 1 $, $ f'(1) = 2 $. What is $ g'(1) $ where \[ g(x) = x f \left( x f(x^2) \right) \]?**Choices:**- 1- 5- 7- 9- 11

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Answered: Let f be a real-valued differentiable…

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

Section3.5: Graphical Differentiation

Problem 1E

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Let f be a real-valued differentiable function and ƒ(1) = 1, ƒꞌ(1) = 2. What is g/(1) where g(x) = x ƒ (x ƒ(x²)) ? 1 5 7 9 11