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Use a linear approximation (or differentials) to estimate the given number.
e^0.01



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mukushla
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ok u just need a linear approximation of \(e^x\)

help_needed
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So I should still use the f(a) + f'(a) (xa) ?

mukushla
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yes and u have\[f(x)=e^x\]and \[a=\text{whatever u want but better and simpler to use 0} \]

help_needed
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ok so let me try this to see what equation i get

help_needed
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iDK if what i did makes sense. I got f(0) + f'(o)(x0) = 1 + 0(x0) = 1

mukushla
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emm but f'(0) is 1 ha?

help_needed
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f'(x) = 1/x right so isnt x=0 so that makes it 1/0 = 0.

mukushla
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f'(x)=e^x

mukushla
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i gotta go...good night from eastern hemisphere :) think about it.

help_needed
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ok tahnks!

help_needed
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bye and thank u

help_needed
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Its 3:35 pm here in the USA! but gnite