Rolle's Theorem

For Rolle's theorem function must be continues on

• Closed interval

• open interval

• semi closed interval

• all of the above

For Rolle's theorem function must be differentiable on

• Closed interval

• Open interval

• Semi closed interval

• Function need bot be differentiable

Rolle's theorem is not applicable in which of the following cases

• All of the above

Rolle's theorem tells about the

• Existence of a point c where derivative of a function becomes zero

• Existence of a point c where derivative of a function becomes positive

• Existence of a point c where derivative of a function becomes negative

• Existence of a point c where derivative of a function becomes monotonically increasing

• 0

• 1

• -1

• 1/2

Tags

CCSS.HSF.IF.A.2

Does Rolle's theorem is applicable if f(a) is not the same as f(b)

• Yes

• No

• Under particular condition

• May be