Q1 of 168 Page 30

Differentiate each of the following from first principles:

We need to find derivative of

Derivative of a function f(x) is given by –

{where h is a very small positive number}

∴ derivative of is given as –

Using algebra of limits –

Hence,

Derivative of f(x) =

Differentiate each of the following from first principles:

kxⁿ

Differentiate each of the following from first principles: