For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of change. a) average rate of change between 2 and 5 b) average rate of change in the interval –2 < x < 0.5 c) instantaneous rate of change at x = 2 using an interval strategy. (Use h = 0.01) d) equation of the tangent line drawn at x = 2.
For the function f(x) = 3x² + 5x – 1, determine the required average and instantaneous rates of change. a) average rate of change between 2 and 5 b) average rate of change in the interval –2 < x < 0.5 c) instantaneous rate of change at x = 2 using an interval strategy. (Use h = 0.01) d) equation of the tangent line drawn at x = 2.
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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