Continuity & Differentiability Mock Tests

The derivative of sin⁻¹(2x/√(1+4x²)) with respect to x is:

If y = x³ + 2x, then dy/dx at x = 1 is:

The derivative of sin⁻¹(2x/√(1+4x²)) with respect to x is:

The function f(x) = [x], where [x] denotes the greatest integer function, is:

The function f(x) = |2x − 1| is not differentiable at:

The function f(x) = |x - 2| is continuous at x = 2:

If y = e^(sin x), then dy/dx at x = 0 is:

The function f(x) = (x² - 4)/(x - 2) is discontinuous at: