The derivative of a function f is a new function f'. The domain of f' us a subset of the domain of f. The derivative has various applications and interpretations, including: 1. For each in the domain of f'. f'(x) is the [Select] tangent to the graph of f at the point (x, f(x)). 2. For each in the domain of f'. f'(x) is the [Select] change of y = f(x) with respect to . 3. If f(x) is the position of a moving object at time, then v = f'(x) is the [Select] of the object at that time. of the line rate of

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter1: Functions
Section1.2: Functions Given By Tables
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Interpretations of the Derivative
The derivative of a function f is a new function f'. The domain of f' us a subset of the
domain off. The derivative has various applications and interpretations, including:
1. For each in the domain of f', f'(x) is the [Select]
tangent to the graph of f at the point (x, f(x)).
2. For each in the domain of f', f'(x) is the [Select]
of the line
✓rate of
change of y = f(x) with respect to .
3. If f(x) is the position of a moving object at time, then v = f'(x) is the
[Select]
of the object at that time.
Transcribed Image Text:Interpretations of the Derivative The derivative of a function f is a new function f'. The domain of f' us a subset of the domain off. The derivative has various applications and interpretations, including: 1. For each in the domain of f', f'(x) is the [Select] tangent to the graph of f at the point (x, f(x)). 2. For each in the domain of f', f'(x) is the [Select] of the line ✓rate of change of y = f(x) with respect to . 3. If f(x) is the position of a moving object at time, then v = f'(x) is the [Select] of the object at that time.
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