The table below shows values of differentiable functions, f(x) and g(x), and their derivatives at selected values of x. Use the table of values below to answer each of the questions below. g(x) 2 g'(x) 5 -3 -2 f(x). a. Approximate the value of f'(1.5). Explain why your answer is a good approximation of f'(1.5). f'(x) -1 3 3 3 3 10 4 -1 b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior of the graph of A(x) when x = 2? Give a reason for your answer.

The table below shows values of differentiable functions, f(x) and g(x), and their derivatives at selected values of x. Use the table of values below to answer each of the questions below. g(x) 2 g'(x) 5 -3 -2 f(x). a. Approximate the value of f'(1.5). Explain why your answer is a good approximation of f'(1.5). f'(x) -1 3 3 3 3 10 4 -1 b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior of the graph of A(x) when x = 2? Give a reason for your answer.

Name: I need help with letter C pleasee The table below shows values of diff
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Description: I need help with letter C pleasee The table below shows values of differentiable functions, f(x) and g(x), and their derivatives atselected values of x. Use the table of values below to answer each of the questions below.f(x)3f'(x)g(x)g'(x)a. Approxi

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

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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