Question

Determine whether the statement is true or false. Give an example,

If f' (x)= g' (x), then f(x) = g(x)

Answer 1

False; consider the functions f(x) = x and g(x) = x + 1. Clearly f(x) ≠ g(x), but both f '(x) = 1 and g'(x) = 1.