If f(x) = 4x2 - x3, find f'(x), f"(x), f""(x), and f(4)(x). f'(x) f"(x) = p"(x) = p(4)(x) = Graph f, f', f", and f" on a common screen. 10 -6 -4 -2 -6 -4 6. -6 -4 -2 -5 10 f10- y |10

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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Question
If f(x) :
4x2 – x³, find f'(x), f"(x), f"(x), and f(4)(x).
%D
f'(x)
f"(x)
%D
f"(x)
f(4)(x)
Graph f, f', f", and f" on a common screen.
y
y
y
10
10
10
5
5
5
X
X
-6
-4
-2
2
-6
-4
-2
2
6
-6
-4
-2
2
6
-5
10
10
y
10
II
Transcribed Image Text:If f(x) : 4x2 – x³, find f'(x), f"(x), f"(x), and f(4)(x). %D f'(x) f"(x) %D f"(x) f(4)(x) Graph f, f', f", and f" on a common screen. y y y 10 10 10 5 5 5 X X -6 -4 -2 2 -6 -4 -2 2 6 -6 -4 -2 2 6 -5 10 10 y 10 II
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f(x)=4x^2-x^3

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