Questions and Answers on Derivatives in Calculus A set of questions on the concepts of the derivative of a function in calculus are presented with their answers. These questions have been designed to help you gain deep understanding of the concept of derivatives which is of major importance in calculus.
Question 1: If functions f and g are such that f(x) = g(x) + k where k is a constant, then (A) f '(x) = g '(x) + k (B) f '(x) = g '(x) (C) None of the above Answer : (B). The derivative of a sum of two functions is equal to the sum of the derivatives of the two functions and also the derivative of constant is equal to zero.
Question 2: If f(x) = g(u) and u = u(x) then (A) f '(x) = g '(u) (B) f '(x) = g '(u) . u '(x) (C) f '(x) = u '(x) (D) None of the above