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For fx +8 for the followirg A)6) B.Slape of the graph ot tat xa- Equation of the targent line at X- Valuels) of x wrere aant ne is horizonta

For fx +8 for the followirg A)6) B.Slape of the graph ot tat xa- Equation of the targent line at X- Valuels) of x wrere aant ne is horizonta

Calculus: Early Transcendentals
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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For fx +8 for the followirg A)6) B.Slape of the graph ot tat xa- Equation of the targent line at X- Valuels) of x wrere aant ne is horizonta
Transcribed Image Text:For fx +8 for the followirg A)6) B.Slape of the graph ot tat xa- Equation of the targent line at X- Valuels) of x wrere aant ne is horizonta
Expert Solution
Step 1

a)To find the derivative of f(x) , we use the result that derivative of x^n is n*x^(n-1)

f(x) x-4x38 f(x) 4x3-12x2
Step 2

b)To find slope m of graph at x=-1 , we substitute x=-1 in f'(x)

f'(x) 4x3 -12x m f(-) 4(-)-12(-1) -4-1=-16
Step 3

c)Now we find the value of y corresponding to x=-1

y ()4 8 = 1+4+8 13
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