Q1 of 354 Page 11

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) =

[By using = 1]

f ‘(x) = – e^–x

Differentiate the following functions from first principles :

e^3x

Differentiate the following functions from first principles :

e^{ax + b}

Differentiate the following functions from first principles :

e^cos ^x

Differentiate the following functions from first principles :

Differentiate the following functions from first principles :e–x