Question

Differentiate each of the following from first principles:

(i) e^-x

(ii) e^3x

(iii) e^ax+b

Answer 1

(i) e^-x

Given:

f (x) = e^-x

By using the formula,

(ii) e^3x

Given:

f (x) = e^3x

By using the formula,

(iii) e^ax+b

Given:

f (x) = e^ax+b

By using the formula,

Since we can not substitute the value of h directly, we take