Solution Found!
In 17–20, find a power series expansion for f’(x), given
Chapter 8, Problem 17E(choose chapter or problem)
QUESTION:
In Problems 17–20, find a power series expansion for f’(x), given the expansion for f(x).
\(f(x)=(1+x)^{-1}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}\)
Equation transcription:
Text transcription:
f(x)=(1+x)^{-1}=sum{n=0}^{infty}(-1)^{n} x^{n}
Questions & Answers
QUESTION:
In Problems 17–20, find a power series expansion for f’(x), given the expansion for f(x).
\(f(x)=(1+x)^{-1}=\sum_{n=0}^{\infty}(-1)^{n} x^{n}\)
Equation transcription:
Text transcription:
f(x)=(1+x)^{-1}=sum{n=0}^{infty}(-1)^{n} x^{n}
ANSWER:Step 1 of 3
The differentiation for the series
