Pick the correct answer and explain your answer with words: [2C]

Your sibling states "If you finish homework, you can borrow their car". You know this means, "If you don't finish homework, you cannot borrow their car". Your mathematician friend says, "If f is differentiable at x, f is continuous at x". This means:

a. if is not differentiable at , is not continuous at x

b. if is not continuous at , is not differentiable at x

c. knowing is not continuous at , does not give us enough information to deduce anything about whether the derivative of exists at x.