Consider the following.f(x) = 15 - 2x -x(a) Find f'(x).f"(x) =(b) Graph both f(x) and f'(x) with a graphing utility.y1515151010101055- 101510-1010-10510-1010-5-5-5-5- 10-10-10-10-15-15-15-15(c) Use the graph of f'(x) to identify x-values vwhere f'(x) = 0, f(x) > 0, and f'(x) < 0.f'(x) = 0 x?f'(x) >0 x ?Vf'(x) <0 x?V(d) Use the graph of f(x) to identify x-values where f(x) has a maximum or minimum point, where the graph of fx) is rising, and where the graph of f(x) is falling.fx) has a minimum or maximum at ?f(x) is rising when x?vf(x) is falling when x ?V

I have solution for part (a) and (b) given equation is f(x)=15-2x-x2since coefficieny of x2 is…

Consider the following. Rx) = 15 - 2x - (a) Find f'(x). f'(x) = (b) Graph both f(x) and f'(x) with a graphing utility. y 15 15 10 10 10 10 5 - 10 10 -10 10 -10 Is 5 10 -10 10 -5 -5 -5 -5 -10 -10 -10 -10 -15 -15 -15 -15 (c) Use the graph of f'(x) to identify x-values where f'(x) = 0, F'(x) > 0, and f'(x) < 0. x PV f(x) > 0 x F(x)

Consider the following. Rx) = 15 - 2x - (a) Find f'(x). f'(x) = (b) Graph both f(x) and f'(x) with a graphing utility. y 15 15 10 10 10 10 5 - 10 10 -10 10 -10 Is 5 10 -10 10 -5 -5 -5 -5 -10 -10 -10 -10 -15 -15 -15 -15 (c) Use the graph of f'(x) to identify x-values where f'(x) = 0, F'(x) > 0, and f'(x) < 0. x PV f(x) > 0 x F(x)

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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