State True or False for the statements

Trigonometric and inverse–trigonometric functions are differentiable in their respective domain.

State True or False for the statements

Rolle’s theorem is applicable for the function f(x) = |x – 1| in [0, 2].

State True or False for the statements

If f is continuous on its domain D, then |f| is also continuous on D.

State True or False for the statements

The composition of two continuous functions is a continuous function.

State True or False for the statements

If f .g is continuous at x = a, then f and g are separately continuous at x = a.