Differentiate the following from first principle.

–x

We need to find derivative of f(x) = – x


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


f’(x) = {where h is a very small positive number}


derivative of f(x) = – xis given as –


f’(x) =


f’(x) =


f’(x) =


f’(x) =


f’(x) = – 1


Hence,


Derivative of f(x) = – x = – 1


2