# Letf(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) atx = −1.(c) Find the slope of the tangent to the graph ofy = f(x)atx = −1.(d) Find the point on the graph ofy = f(x)atx = −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...
Question

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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