CDS || Maths || Calculus || Differentiation || Quiz 2020

If z = f o f(x) where f(x) = x², then what is  equal to?

Consider the following statements :

1) The function f(x) = |x| is not differentiable at x = 1.

2) The function f(x) = e^x is differentiable at x = 0.

Which of the above statements is/are correct?

Consider the following statements :

1) The function  is continuous at all x except at x = 0.

2) The function f(x) = [x] is continuous at x = 2.99 where [.] is the bracket function.

Which of the above statements is/are correct?

If f(x) = , then find the value of f’(x)

Find the angle x which increases twice as fast as its sine.