For the function, find the following. (a) f'(x) f(x) = x² - 6x³ - 7x² + 4x - 6 (b) f"(x) (c) f(x) (d) f(4)(x)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter5: Graphs And The Derivative
Section5.CR: Chapter 5 Review
Problem 13CR
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Question
ck
For the function, find the following.
(a) f'(x)
esc
f(x) = x² - 6x³ - 7x² + 4x - 6
(b) f"(x)
(c) f(x)
(d) f(4)(x)
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Transcribed Image Text:ck For the function, find the following. (a) f'(x) esc f(x) = x² - 6x³ - 7x² + 4x - 6 (b) f"(x) (c) f(x) (d) f(4)(x) ! F1 Q A 2 F2 W # 3 20 F3 E $ 4 S D Q F4 R 175⁰ % F 오 F5 MacBook Air T 1 6 F6 G & Y 7 F7 H
Expert Solution
Step 1

The following formulas of derivatives has been used to solve this questiona. ddxf(x)±g(x)=ddxf(x)+ddxg(x)b. ddxk.f(x)=kddxf(x) where k is a constantc. ddxxn=nxn-1d. ddx(constant)=0e. f'(x)=ddxf(x)f. f''(x)=ddxf'(x)g. f'''(x)=ddxf''(x)h. f4(x)=ddxf'''(x)

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