Differentiate each of the following from first principles:

We need to find derivative of f(x) =


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


{where h is a very small positive number}


derivative of f(x) = is given as –





Using algebra of limits –








As h is cancelled and by putting h = 0 we are not getting any indeterminate form so we can evaluate the limit directly.





Hence,


Derivative of f(x) =


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