Please answer the attached: 60. The table below gives selected values for thedifferentiable and decreasing function f and its derivative.If g(x) = ƒ−¹(x), what is the value of g'(−4)?f(x) | f'(x)9-8-1-1 -6-2 -10-4-3X-4-101210

Answered: 60. The table below gives selected…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter2: Functions

Section2.4: Average Rate Of Change Of A Function

Problem 2E

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Consider the function f and its derivatives below. f'(x) = -2(2³-32) (³+64)² 6x²(³-128) (3+64)3 f"(x) = f(x) = 3 +64 Fill in the table below. For answers that require intervals, use interval notation and write your answer as a comma-separated list of intervals that are as inclusive as possible. Write "NONE" as your answer, if appropriate. Your answers must be exact or accurate to two decimal places. 2 1.26 38=2 4 1.59 16 2.51 √32 3.17 equations of vertical asymptote(s) of f: equations of horizontal asymptote(s) of f: f is decreasing on: f is increasing on: z-coordinate(s) of each local minimum of f: z-coordinate(s) of each local maximum of f: f is concave down on: f is concave up on: 01 x-coordinate(s) of each inflection point of f: √64=4 128 5.04 Sin den Ja
is a function given as f(x) = 1 We will compute the derivative of f at x = 5 as Suppose that 2x + 3 follows. First, we compute and simplify the expression f(5 + h). f(5 + h) = Then we compute and simplify the difference quotient, between x = 5 and x = 5 + h. f(5 + h) – f(5) h The derivative of the function at x is the limit of the difference quotient as h approaches zero. f(5+ h) – f(5) f'(5): lim h

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60. The table below gives selected values for the differentiable and decreasing function f and its derivative. If g(x) = f-¹(x), what is the value of g'(-4)? f(x) | ƒ'(x) -8 -1 -1 -6 -2 -10 -4 -3 X -49 -10 1 2 10