Q3 of 354 Page 11

Differentiate the following functions from first principles :
e^{ax + b}

We have to find the derivative of e^ax+b with the first principle method, so,

f(x) = e^ax+b

by using the first principle formula, we get,

f ‘(x) =

[By using = 1]

f ‘(x) = a e^ax+b

Differentiate the following functions from first principles :

e^–x

Differentiate the following functions from first principles :

e^3x

Differentiate the following functions from first principles :

e^cos ^x

Differentiate the following functions from first principles :

Differentiate the following functions from first principles :eax + b