anonymous
  • anonymous
Use a linear approximation (or differentials) to estimate the given number. e^0.01
Mathematics
jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
ok u just need a linear approximation of \(e^x\)
anonymous
  • anonymous
So I should still use the f(a) + f'(a) (x-a) ?
anonymous
  • anonymous
yes and u have\[f(x)=e^x\]and \[a=\text{whatever u want but better and simpler to use 0} \]

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anonymous
  • anonymous
ok so let me try this to see what equation i get
anonymous
  • anonymous
iDK if what i did makes sense. I got f(0) + f'(o)(x-0) = 1 + 0(x-0) = 1
anonymous
  • anonymous
emm but f'(0) is 1 ha?
anonymous
  • anonymous
f'(x) = 1/x right so isnt x=0 so that makes it 1/0 = 0.
anonymous
  • anonymous
f'(x)=e^x
anonymous
  • anonymous
i gotta go...good night from eastern hemisphere :) think about it.
anonymous
  • anonymous
ok tahnks!
anonymous
  • anonymous
bye and thank u
anonymous
  • anonymous
Its 3:35 pm here in the USA! but gnite

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