## anonymous 3 years ago Use a linear approximation (or differentials) to estimate the given number. e^0.01

1. anonymous

ok u just need a linear approximation of $$e^x$$

2. anonymous

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

3. anonymous

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

4. anonymous

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

5. anonymous

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

6. anonymous

emm but f'(0) is 1 ha?

7. anonymous

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

8. anonymous

f'(x)=e^x

9. anonymous

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

10. anonymous

ok tahnks!

11. anonymous

bye and thank u

12. anonymous

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