?Let \(\quad f(x)=(x-1)^{2} \quad g(x)=e^{-2 x}\) And \(h(x)=1+\ln (1-2 x)\)(a) Find the
Chapter 3, Problem 40(choose chapter or problem)
Let \(\quad f(x)=(x-1)^{2} \quad g(x)=e^{-2 x}\)
And \(h(x)=1+\ln (1-2 x)\)
(a) Find the linearizations of \(f, g\), and \(h\) at \(a=0\). What do you notice? How do you explain what happened?
(b) Graph \(f, g\), and \(h\) and their linear approximations. For which function is the linear approximation best? For which is it worst? Explain.
Equation Transcription:
Text Transcription:
f(x) = (x - 1)^2 g(x) = e^-2x
h(x) = 1 + ln(1-2x)
f , g
h
a=0
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