Find the derivative of the following function: f(x) = ³√x² -2 (a) f'(x) = 3 1/ (b) ƒ'(x) = 3³7x² 3√√x5 (c) f'(x) = ³√x 2 -3 2√x5 (d)) f'(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.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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Find the derivative of the following function: f(x) = ³√x²
(a) f'(x) = 3√x
(b) f'(x) = 3/5
(c) ƒ'(x) = ³√x
3√x5
Find the average rate of change of f(x) = x² from x = 1 to x = 4.
(a) 3
(b) 5
(c) 15
(d) 6
(d)) f'(x) =
2√x5
Transcribed Image Text:Find the derivative of the following function: f(x) = ³√x² (a) f'(x) = 3√x (b) f'(x) = 3/5 (c) ƒ'(x) = ³√x 3√x5 Find the average rate of change of f(x) = x² from x = 1 to x = 4. (a) 3 (b) 5 (c) 15 (d) 6 (d)) f'(x) = 2√x5
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