If f is defined by f (x) = x 2 , find f ‘ (2).

Question

Philoid · Accepted Answer

We are given with a polynomial function f(x) = x², and we have to find whether it is derivable at x = 2 or not, so by using the formula, f ‘(c) = , we get,

f ‘(2) =

[using a^{2 -} b² = (a + b)(a - b)]

f ‘(2) = lim_x_→₂ x + 2 = 4

Hence, the function is differentiable at x = 2 and its derivative equals to 4.

If f is defined by f (x) = x2, find f ‘ (2).

If f is defined by f (x) = x², find f ‘ (2).