Differentiability (Theorems)

Differentiability (Theorems)

University

12 Qs

quiz-placeholder

Similar activities

Volume of Revolution

Volume of Revolution

12th Grade - University

7 Qs

IE311 Fun quiz

IE311 Fun quiz

University

10 Qs

ATURAN NILAI TEMPAT (XII MIPA.2)

ATURAN NILAI TEMPAT (XII MIPA.2)

University

15 Qs

Geometry Unit 3 Review

Geometry Unit 3 Review

9th Grade - University

11 Qs

Bell Work 2/24

Bell Work 2/24

7th Grade - University

14 Qs

Maths Revision Quiz (1) - Grade 3

Maths Revision Quiz (1) - Grade 3

3rd Grade - University

10 Qs

Bell Work 2/18

Bell Work 2/18

7th Grade - University

10 Qs

Differentiability (Theorems)

Differentiability (Theorems)

Assessment

Quiz

Mathematics

University

Practice Problem

Hard

Created by

Anastasiia Kovtun

Used 2+ times

FREE Resource

AI

Enhance your content in a minute

Add similar questions
Adjust reading levels
Convert to real-world scenario
Translate activity
More...

12 questions

Show all answers

1.

MULTIPLE SELECT QUESTION

1 min • 1 pt

If we know that f is 3 times differentiable then
(choose all)

f is continuous

f' is continuous

f'' is continuous

f''' is continuous

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which of these is NOT a hypothesis of the Mean Value Theorem (MVT)?

Function is continuous on a closed, bounded interval

Function is differentiable on the interior of a bounded interval

Function gets same values at the ends of an interval

3.

FILL IN THE BLANK QUESTION

5 sec • 1 pt

BONUS QUESTION:
Why in MVT there is a condition of continuity (as there is already a condition of differentiability)?

4.

MULTIPLE SELECT QUESTION

1 min • 1 pt

Media Image

The function, F, above satisfies the conclusion of Rolle's Theorem in the interval [a,b] because:

I. F is continuous on [a,b]

II. F is differentiable on (a,b)

III. F(a) = F(b) = 0

All 3 statements are true

I is not true

II is not true

None of the statements are true

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

YES

NO, no continuity

NO, no differentiability

NO, no continuity and no differentiability

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

I only

II only

III only

II and III only

I, II, and III

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If f is continuous on [-1,1], f (− 1)=4 and f(1)=−2 , then there are a,b: a≥f(x)≥b

Extreme value theorem

Mean Value Theorem

Intermediate value theorem

Rolle's theorem

Access all questions and much more by creating a free account

Create resources

Host any resource

Get auto-graded reports

Google

Continue with Google

Email

Continue with Email

Classlink

Continue with Classlink

Clever

Continue with Clever

or continue with

Microsoft

Microsoft

Apple

Apple

Others

Others

Already have an account?