Q. 1 O4.5( 2 Votes )

Differentiate each of the following from first principles:


Answer :

We need to find derivative of f(x) =


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


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


derivative of f(x) = is given as –


f’(x) =


f’(x) =


f’(x) =


f’(x) =


Using algebra of limits –


f’(x) =


f’(x) =


f’(x) =


f’(x) =


f’(x) =


f’(x) =


Hence,


Derivative of f(x) =


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