Let f(x) = 6x2 – 4x. (a) Use the definition of derivative and the Procedure/Example box in this section to find the derivative. f'(x) = (b) Find the instantaneous rate of change of f(x) at x = -1. (c) Find the slope of the tangent to the graph of y = f(x) at x = -1. %3D (d) Find the point on the graph of y = f(x) at x = -1. (х, у) %3D

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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Let f(x) = 6x2 – 4x.
(a) Use the definition of derivative and the Procedure/Example box in this section to find the derivative.
f'(x) =
(b) Find the instantaneous rate of change of f(x) at x = -1.
(c) Find the slope of the tangent to the graph of y = f(x) at x = -1.
%3D
(d) Find the point on the graph of y = f(x) at x = -1.
(х, у) %3D
Transcribed Image Text:Let f(x) = 6x2 – 4x. (a) Use the definition of derivative and the Procedure/Example box in this section to find the derivative. f'(x) = (b) Find the instantaneous rate of change of f(x) at x = -1. (c) Find the slope of the tangent to the graph of y = f(x) at x = -1. %3D (d) Find the point on the graph of y = f(x) at x = -1. (х, у) %3D
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