In the following exercises, given that = > x", use term-by-term differentia 1-x n=0 function centered at the given point. 95. f (x) = ln x centered at x = 1 (Hint: x = 1 – (1 – x)) 96. In (1 - х) at x %3D =D0 97. In (1 – x²) at x = 0 2х 98. f (x) = at x = 0 %3D (1–x²)²

In the following exercises, given that = > x", use term-by-term differentia 1-x n=0 function centered at the given point. 95. f (x) = ln x centered at x = 1 (Hint: x = 1 – (1 – x)) 96. In (1 - х) at x %3D =D0 97. In (1 – x²) at x = 0 2х 98. f (x) = at x = 0 %3D (1–x²)²

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

Section3.3: Rates Of Change

Problem 5E: Find the average rate of change for each function over the given interval. y=x between x=1 and x=4

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Question

Differentiate or integrate number 98 to find the power series for the function

In the following exercises, given that = >
x", use term-by-term differentia
1-x
n=0
function centered at the given point.
95. f (x) = ln x centered at x = 1 (Hint: x = 1 – (1 – x))
96. In (1 - х) at x %3D
=D0
97. In (1 – x²) at x = 0
2х
98. f (x) =
at x = 0
%3D
(1–x²)²

With differentiation, one of the major concepts of calculus. Integration involves the calculation of an integral, which is useful to find many quantities such as areas, volumes, and displacement.

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