Please show your work (i.e., provide an explanation of your final solution) to receive credit.If you get a fractional number or some formulations that you cannot do further simplification,please leave it in the simplest form (do not approximate it using decimal numbers). PleaseDO NOT use the materials that are not covered in the lectures (such as L'hopital rule).1. For each of the following, first write down a formula for the derivative that is asked for,in terms of f, g, f', g', and x. Then use the values in the table to compute the value ofthis derivative at the specified x-value.X−101234LO5f(x) g(x) f'(x) g'(x)-2 4-433122114-1−1-2– 1-213-31-3-333-322−1awx \xg(x)/• First compute(f(g(x² +1))). What is the value of that derivative at x = 2?

Answered: Image /qna-images/answer/7a9b8d08-4bab-4655-a505-d9cf6ae9cf88.jpg

For each of the following, first write down a formula for the derivative that is asked for, in terms of f, g, f', g', and x. Then use the values in the table to compute the value of this derivative at the specified x-value. X -1 0 1 2 3 4 5 f(x) g(x) f'(x) g'(x) -2 4 -4 3 3 1 2 2 1 1 4 -1 -1 -2 -1 -2 1 3 -3 1 -3 -3 3 3 -3 2 2 -1 un sagrajz • First compute(f(g(x² + 1))). What is the value of that derivative at x = 2?

For each of the following, first write down a formula for the derivative that is asked for, in terms of f, g, f', g', and x. Then use the values in the table to compute the value of this derivative at the specified x-value. X -1 0 1 2 3 4 5 f(x) g(x) f'(x) g'(x) -2 4 -4 3 3 1 2 2 1 1 4 -1 -1 -2 -1 -2 1 3 -3 1 -3 -3 3 3 -3 2 2 -1 un sagrajz • First compute(f(g(x² + 1))). What is the value of that derivative at x = 2?

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

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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