Question

What does twice differentiable mean?

Answer 1

Twice differentiable:

• Twice differentiable means the double derivative of the function.
• If a function is twice differentiable, then the second derivative of the function exists.
• From twice differentiable of a function we get the maxima and minima of the function.
• If $f\text{'}\text{'}\left(x\right)<0$ at $x=a$, then function is maxima at $x=a$.
• If $f\text{'}\text{'}\left(x\right)>0$ at $x=a$, then function is minima at $x=a$.