Question

When is the second order derivative of \[y\] with respect to \[x\] defined?

Options

• When \[f'(x)\] is differentiable

• When \[\frac{d^2y}{dx^2}=0\]

• When \[y=\sin^{-1}x\]

• When \[f(x)\] is constant

Answer 1

The second derivative is obtained by differentiating \[f'(x)\] again with respect to \[x\]. Therefore, it is defined only when the first derivative is differentiable.