Consider the following function. g(t) = 2t2 − 4; dg dt t = 5 (a) Use the limit definition of the derivative (algebraic method) to write an expression for the rate-of-change function of the given function. g'(t) = (b) Evaluate the rate of change as indicated. dg dt t = 5
Consider the following function. g(t) = 2t2 − 4; dg dt t = 5 (a) Use the limit definition of the derivative (algebraic method) to write an expression for the rate-of-change function of the given function. g'(t) = (b) Evaluate the rate of change as indicated. dg dt t = 5
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.
g(t) = 2t2 − 4;
dg |
dt |
t = 5 |
(a) Use the limit definition of the derivative (algebraic method) to write an expression for the rate-of-change function of the given function.
(b) Evaluate the rate of change as indicated.
=
g'(t) =
(b) Evaluate the rate of change as indicated.
dg |
dt |
t = 5 |
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