Q14 of 32 Page 13

Differentiate x^2 + 1/x using first principle.

We need to find derivative of


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


{where h is a very small positive number}


derivative ofis 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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