Answer :

We are given with a polynomial function f(x) = x2 - 4x + 7, and we have to f ‘(x) it’s value at

x = 5 and x = , so by using the formula, f ‘(c) = , we get,


f ‘(5) =


f ‘(5) =


f ‘(5) =


f ‘(5) =


f ‘(5) = limx5 (x + 1) = 6


Hence to function is differentiable at x = 5 and has value 6 .


f ‘() =


f ‘() =


f ‘() =


f ‘() =


f ‘() =


f ‘() =


f ‘() = = 3


Therefore f ‘(5) = 2f ‘() = 6,


Hence, proved.


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