Consider the following function. F(t) = 3t5 − 20t3 + 16 Find the derivative of the function. F '(t) = 15t4−60t2 Find the critical numbers of the function. (Enter your answers as a comma-separated list.) t = 0, 2, −2 Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) relative maximum(x, y)= relative minimum(x, y)=
Consider the following function. F(t) = 3t5 − 20t3 + 16 Find the derivative of the function. F '(t) = 15t4−60t2 Find the critical numbers of the function. (Enter your answers as a comma-separated list.) t = 0, 2, −2 Find the relative maxima and relative minima, if any, of the function. (If an answer does not exist, enter DNE.) relative maximum(x, y)= relative minimum(x, y)=
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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Consider the following function.
F(t) = 3t5 − 20t3 + 16
Find the derivative of the function.
F '(t) = 15t4−60t2
Find the critical numbers of the function. (Enter your answers as a comma-separated list.)
t = 0, 2, −2
Find the relative maxima and relative minima , if any, of the function. (If an answer does not exist, enter DNE.)
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