Q. 2

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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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