Differentiate the following functions from first principles :

e–x

We have to find the derivative of e–x with the first principle method, so,

f(x) = e–x


by using the first principle formula, we get,


f ‘(x) =


f ‘(x) =


f ‘(x) =


f ‘(x) =


[By using = 1]


f ‘(x) = – e–x


1