Differentiability Mock Tests

If f(x) = x² · sin x, then f'(π) is:

The derivative of sin⁻¹(2x√(1-x²)) with respect to cos⁻¹(2x√(1-x²)) at x = 1/2 is:

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

The function f(x) = |x| · sin x is:

The derivative of e^(sin x) with respect to x is:

The derivative of x⁵ with respect to x is:

The derivative of x⁴ with respect to x is:

The derivative of sin(2x) with respect to x is: