Determine the points on a function when tangent lines have a given slope Question 4x3 For which value(s) of x does f(x) 2x 7x -21 have a tangent line of slope 6? Select all correct answers. Select all that apply: 2 O-2 2

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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Determine the points on a function when tangent lines have a given slope
Question
4x3
For which value(s) of x does f(x)
2x
7x -21 have a tangent line of slope 6? Select all correct answers.
Select all that apply:
2
O-2
2
Transcribed Image Text:Determine the points on a function when tangent lines have a given slope Question 4x3 For which value(s) of x does f(x) 2x 7x -21 have a tangent line of slope 6? Select all correct answers. Select all that apply: 2 O-2 2
Expert Solution
Step 1

To determine the value of x for which the given function have slope 6.

4x3
+2x27x-21
f(x)=
Step 2

In order to find the slope of the given function, we must find the first derivative of the given function.

Therefore,

d
By applying the Power Rule
dx
(x°)=a-x
d(f(x))_ 4
.3x31 2-2x21 +7-0
3
dx
= 4x2 +4x +7
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