Please answer both parts of the question Let f(x) = (-1) ¹n=0X¹+1n+1(-3)-, for x € (-1,1). Find f'∞Let f: ( − 1, 1) → R be given by f(x) = 2 Σx¹. Find gn=0Fine (1). W where g(x) = 2nx¹-1¸= [21x²-1,n=1

Recall following infinite series : (1) log⁡(1+x)=x−x2/2+x3/3−x4/4+⋯,|x|<1 (2)…

Answered: Let f(x) = Σ(-1) ¹ n=0 X¹+1 n+1 *(-)…

Let f(x) = Σ(-1) ¹ n=0 X¹+1 n+1 *(-) for x € (-1,1). Find f' 1 ∞ 2Σxª. Fim² =(- -)- where g(x) = Σ 21x²-1 Σ2nx³-1 n=0 n=1 Let f: ( − 1, 1) → R be given by f(x) = 2x¹. Find g

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.

Chapter9: Multivariable Calculus

Section9.2: Partial Derivatives

Problem 28E

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Question

Please answer both parts of the question

Let f(x) = (-1) ¹
n=0
X¹+1
n+1
(-3)
-, for x € (-1,1). Find f'
∞
Let f: ( − 1, 1) → R be given by f(x) = 2 Σx¹. Find g
n=0
Fine (1). W where g(x) = 2nx¹-1¸
= [21x²-1,
n=1

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