Need help for d Pictured to the right is the graph of f', the first derivative of a twicedifferentiable function, f(x), on the interval o < x < 10 such that f (2) = 8.843.The equation of /' is defined by f'(x) = 4xe sin(x).2+Answer the questions that follow.1.a. On the interval 5.3 < x < 6.7, is the graph of f(x) concave up or concavedown? Justify your answer.Graph of f '(x)b. For what value(s) of x does the graph of fs(x) have a relative maximum? Justify your answer.c. On the interval 0 < x < 10, at what value(s) of x does the graph of sx) have a point of inflection? Justify your answer.d. Approximate the value of f(2.4) using the equation of the tangent line drawn to the graph of f at x = 2. Is thisapproximation an over or under approximation of the actual value of f(2.4). Give a reason for your answer.

d. Approximate the value of f(2.4) using the equation of the tangent line drawn to the graph of f at x = 2. Is this approximation an over or under approximation of the actual value of f(2.4). Give a reason for your answer.

d. Approximate the value of f(2.4) using the equation of the tangent line drawn to the graph of f at x = 2. Is this approximation an over or under approximation of the actual value of f(2.4). Give a reason for your answer.

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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Question

Need help for d

Pictured to the right is the graph of f', the first derivative of a twice
differentiable function, f(x), on the interval o < x < 10 such that f (2) = 8.843.
The equation of /' is defined by f'(x) = 4xe sin(x).
2+
Answer the questions that follow.
1.
a. On the interval 5.3 < x < 6.7, is the graph of f(x) concave up or concave
down? Justify your answer.
Graph of f '(x)
b. For what value(s) of x does the graph of fs(x) have a relative maximum? Justify your answer.
c. On the interval 0 < x < 10, at what value(s) of x does the graph of sx) have a point of inflection? Justify your answer.
d. Approximate the value of f(2.4) using the equation of the tangent line drawn to the graph of f at x = 2. Is this
approximation an over or under approximation of the actual value of f(2.4). Give a reason for your answer.

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