Let f(x) = 3x² - 2x. (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. (d) Find the point on the graph of y = f(x) at x = -1. (x, y) =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Let f(x) = 3x² - 2x.
(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.
(d) Find the point on the graph of y = f(x) at x = −1.
(x, y) =
=
Transcribed Image Text:Let f(x) = 3x² - 2x. (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. (d) Find the point on the graph of y = f(x) at x = −1. (x, y) = =
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