* PROBLEM4 SKETCHING GRAPHS AND GRAPHICAL REASONING: The derivativef of a function f, is the following: f' = (2x – 5) cos(x² – 5x) + 6x a. By inspecting each term of the function and associating them with the rules of differentiation learned so far, find the original function f. b. Using a graphing utility, sketch the original function f c. By inspection of the graph, determine the extrema, concavity and intersection point(s) of the function f in the open interval (-1,1). d. Also, graph the derivative f

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Chapter2: Functions
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* PROBLEM4
SKETCHING GRAPHS AND GRAPHICAL REASONING:
The derivativef of a function f, is the following:
f' = (2x – 5) cos(x² – 5x) + 6x
a. By inspecting each term of the function and associating them with the rules of
differentiation learned so far, find the original function f.
b. Using a graphing utility, sketch the original function f
c. By inspection of the graph, determine the extrema, concavity and intersection
point(s) of the function f in the open interval (-1,1).
d. Also, graph the derivative f
Transcribed Image Text:* PROBLEM4 SKETCHING GRAPHS AND GRAPHICAL REASONING: The derivativef of a function f, is the following: f' = (2x – 5) cos(x² – 5x) + 6x a. By inspecting each term of the function and associating them with the rules of differentiation learned so far, find the original function f. b. Using a graphing utility, sketch the original function f c. By inspection of the graph, determine the extrema, concavity and intersection point(s) of the function f in the open interval (-1,1). d. Also, graph the derivative f
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