Question

Use differentials to estimate e^.001

Answer 1

linear approximation:

\[f(x+\delta x)=f(x)+\delta x\;f'(x)\]
x = 0; \(\delta x=0.001\) and \(f(x)=e^x\)

Answer 2

is that delta x?

Answer 3

this method says,
if you can find the value f(x), then for some close value \(\delta x\) near x, the linear approximation works.

Answer 4

yeah but I need to use differential method to estimate the value, not linear approximation :(