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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 3

Lesson 1: The chain rule: introduction

Identify composite functions

AP.CALC: FUN‑3 (EU), FUN‑3.C (LO), FUN‑3.C.1 (EK)

A composite function can be written as w, left parenthesis, u, left parenthesis, x, right parenthesis, right parenthesis, where u and w are basic functions.

Is g, left parenthesis, x, right parenthesis, equals, left parenthesis, 2, x, squared, plus, 5, x, right parenthesis, tangent, left parenthesis, x, right parenthesis a composite function? If so, what are the "inner" and "outer" functions?

(Choice A)
g is composite. The "inner" function is 2, x, squared, plus, 5, x and the "outer" function is tangent, left parenthesis, x, right parenthesis.
(Choice B)
g is composite. The "inner" function is tangent, left parenthesis, x, right parenthesis and the "outer" function is 2, x, squared, plus, 5, x.
(Choice C)
g is not a composite function.

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AP®︎/College Calculus AB

Course: AP®︎/College Calculus AB > Unit 3

Problem