Question

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

e^0.01

Answer 1

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

Answer 2

So I should still use the f(a) + f'(a) (x-a) ?

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

emm but f'(0) is 1 ha?

Answer 7

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

Answer 8

f'(x)=e^x

Answer 9

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

Answer 10

ok tahnks!

Answer 11

bye and thank u

Answer 12

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