Find the derivative of the function f defined by f (x) = mx + c at x = 0.

Question

Philoid · Accepted Answer

We are given with a polynomial function f(x) = mx + c, and we have to find whether it is derivable at x = 0 or not, so by using the formula, f ‘(c) = , we get,

f ‘(0) =

f ‘(0) = lim_x_→₀ m = m

This is the derivative of a function at x = 0, and also this is the derivative of this function at every value of x.

Which you can check also by simply derivating the f(x) function and putting the value of x afterwards.