Calculus Mock Tests

The number of points where f(x) = max(sin x, cos x) is not differentiable in [0, 2pi] is:

The value of log₁₀(1) is:

If y = sin⁻¹(2x√(1 - x²)), then dy/dx equals

The value of lim(x→∞) (1 + 2/x)^x is:

d/dx(sin²x) equals:

The function f(x) = |x - 1| + |x - 2| + |x - 3| is not differentiable at:

If y = e^(sin^(-1)x)), then dy/dx at x = 0 is:

If f(x) = sin⁻¹(2x/√(1 + 4x²)) then f(1) equals: