Practice Test

Q1) Which of the following is a discontinuous function? Show Answer

Q2) The function f(x) = 1 + |sin x| is Show Answer

Q3) find the value of a. Show Answer

Q4) find the value of b. Show Answer

Q5) The value of a is Show Answer

Q6) The value of b is Show Answer

Q7) The value of c is Show Answer

Q8) The derivative of |x| at x = 0 is Show Answer

Q9) Which one of the following functions is differentiable for all real values of x? Show Answer

Q10) Consider the following in respect of the function f (x) = |x - 3|
I. f (x) is continuous at x = 3.
II. f (x) is differentiable at x = 0
Which of the above statements is/are correct? Show Answer

Q11) At how many points is the function f (x) = [x] discontinuous? Show Answer

Q12) Consider the following statements :
I. f (x) = |x - 3| is continuous at x = 0.
II. f (x) = |x - 3| is differentiable at x = 0.
Which of the above statements is/are correct? Show Answer

Q13) The function f (x) = x cosec x is Show Answer

Q14) What is the derivative of y as a function of x with respect to x for x<0? Show Answer