Lesson 3.2 Rolle and Mean Value Theorems

2
Rolle’s Theorem a b 1. If f is continuous on [a,b], AND 2. Differentiable on (a,b), AND 3. f(a) = f(b), THEN… …you are guaranteed at least one value c on (a,b) where f’(c) = 0.

description

 

Transcript of Lesson 3.2 Rolle and Mean Value Theorems

Page 1: Lesson 3.2 Rolle and Mean Value Theorems

Rolle’s Theorem

a b

1. If f is continuous on [a,b], AND2. Differentiable on (a,b), AND 3. f(a) = f(b), THEN……you are guaranteed at least one value c on (a,b) where f’(c) = 0.

Page 2: Lesson 3.2 Rolle and Mean Value Theorems

Mean Value Theorem

a b

1. If f is continuous on [a,b] AND2. Differentiable on (a,b), THEN……there is at least one value c on (a,b) where ab

)a(f)b(f)c(f


LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):

LECTURE #6: Mean-Value Theorems - ASL · 2 Lecture #6: Mean-Value Theorems EE210B: Inference over Networks (A. H. Sayed) References Appendix D (Mean-Value Theorems, pp. 744-748):

RD Sharma Solutions Class 12 Maths Chapter 15 Ex 15...RD Sharma Solutions Class 12 Maths Chapter 15 Ex 15.2. Mean Value Theorems Ex 15.2 Q1(i) Mean Value Theorems Ex 15.2 Q1(ii) Mean

RD Sharma Solutions Class 12 Maths Chapter 15 Ex 15...RD Sharma Solutions Class 12 Maths Chapter 15 Ex 15.2. Mean Value Theorems Ex 15.2 Q1(i) Mean Value Theorems Ex 15.2 Q1(ii) Mean

Brouwer's fixed point theorems Seite 1 - fileBrouwer's fixed point theorems Seite 2 . Brouwer's fixed point theorems Seite 3 . Brouwer's fixed point theorems Seite 4

Brouwer's fixed point theorems Seite 1 - fileBrouwer's fixed point theorems Seite 2 . Brouwer's fixed point theorems Seite 3 . Brouwer's fixed point theorems Seite 4

JIS UNIVERSITY, Agarpara, Kolkata, WB Syllabus for ... syllabus JISU.pdfDerivatives, Geometric meaning of derivative, successive differentiation, Rolle’s theorem, Mean value theorems,

JIS UNIVERSITY, Agarpara, Kolkata, WB Syllabus for ... syllabus JISU.pdfDerivatives, Geometric meaning of derivative, successive differentiation, Rolle’s theorem, Mean value theorems,

GENERAL MEAN VALUE AND REMAINDER THEOREMS WITH ... · GENERAL MEAN VALUE AND REMAINDER THEOREMS WITH APPLICATIONS TO MECHANICAL DIFFERENTIATION AND QUADRATURE * + BY GEORGE DAVID

GENERAL MEAN VALUE AND REMAINDER THEOREMS WITH ... · GENERAL MEAN VALUE AND REMAINDER THEOREMS WITH APPLICATIONS TO MECHANICAL DIFFERENTIATION AND QUADRATURE * + BY GEORGE DAVID

Network theorems

Network theorems

Geometry 8.1 Geometric Mean and 8.2 Pythagorean Theorem … · 2017-04-10 · Geometry 8.1 – Geometric Mean and 8.2 Pythagorean Theorem NOTES Pythagorean Inequality Theorems Example

Geometry 8.1 Geometric Mean and 8.2 Pythagorean Theorem … · 2017-04-10 · Geometry 8.1 – Geometric Mean and 8.2 Pythagorean Theorem NOTES Pythagorean Inequality Theorems Example

RD Sharma Class 12 Solutions Chapter 15 Mean Value Theorems

RD Sharma Class 12 Solutions Chapter 15 Mean Value Theorems

MEAN VALUE THEOREMS FUNCTIONS OF SINGLE ......MATHEMATICS-I MEAN VALUE THEOREMS FUNCTIONS OF SINGLE SYLLABUS OF MATHEMATICS-I (AS PER JNTU HYD)Name of the Unit Name of the Topic Unit-I

MEAN VALUE THEOREMS FUNCTIONS OF SINGLE ......MATHEMATICS-I MEAN VALUE THEOREMS FUNCTIONS OF SINGLE SYLLABUS OF MATHEMATICS-I (AS PER JNTU HYD)Name of the Unit Name of the Topic Unit-I

Click to LEARN this concept/topic on Doubtnut · 4. MEAN VALUE THEOREMS 1. Rolle theorem: statement or definition Click to LEARN this concept/topic on Doubtnut 16 CONCEPT FOR JEE

Click to LEARN this concept/topic on Doubtnut · 4. MEAN VALUE THEOREMS 1. Rolle theorem: statement or definition Click to LEARN this concept/topic on Doubtnut 16 CONCEPT FOR JEE

MEAN VALUE THEOREMS AND THE ZEROS OF THE ZETA …

MEAN VALUE THEOREMS AND THE ZEROS OF THE ZETA …

semigroups in ergodic nonexpansive theorems Mean › ~kyodo › kokyuroku › contents › pdf › ...commutative semigroups of nonexpansive mappingsby Hirano, Kido and Takahashi [10].

semigroups in ergodic nonexpansive theorems Mean › ~kyodo › kokyuroku › contents › pdf › ...commutative semigroups of nonexpansive mappingsby Hirano, Kido and Takahashi [10].

Details of PGCET Syllabusjacpcldce.ac.in/Adm20/PG/PGCET2020_Syllabus.pdfProbability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean,

Details of PGCET Syllabusjacpcldce.ac.in/Adm20/PG/PGCET2020_Syllabus.pdfProbability and Statistics: Definitions of probability and sampling theorems, Conditional probability, Mean,

Mean Proportional – Day 2. Theorems - Review Page 39 Mean proportionality theorem – The altitude of a right triangle is the mean proportional between.

Mean Proportional – Day 2. Theorems - Review Page 39 Mean proportionality theorem – The altitude of a right triangle is the mean proportional between.

SOME ASYMPTOTIC FIXED POINT THEOREMS€¦ · SOME ASYMPTOTIC FIXED POINT THEOREMS BY ROGER D. NUSSBAUM(l) ABSTRACT. By an asymptotic fixed point theorem we mean a theorem in func-

SOME ASYMPTOTIC FIXED POINT THEOREMS€¦ · SOME ASYMPTOTIC FIXED POINT THEOREMS BY ROGER D. NUSSBAUM(l) ABSTRACT. By an asymptotic fixed point theorem we mean a theorem in func-

Mean Value Theorems -

Mean Value Theorems -

Mean-Value Theorems for Harmonic · 2. Mean-Value Theorems Let ( ) {( ) } 12 2 1: : n n ni i Br x x r = =∈ = ≤x ∑ and Sr x r nn( ): =∈ ={x } be the ball and the hypersphere

Mean-Value Theorems for Harmonic · 2. Mean-Value Theorems Let ( ) {( ) } 12 2 1: : n n ni i Br x x r = =∈ = ≤x ∑ and Sr x r nn( ): =∈ ={x } be the ball and the hypersphere

Mean value theorems for long Dirichlet polynomials and tails of

Mean value theorems for long Dirichlet polynomials and tails of

AB CALCULUS: Q204. [Derivative Applications] Lesson 1 ...mrbermel.com › AB_Calculus › NOTES › AB.1617.Q204.notes.pdf · AB.Q204.LESSON2.NOTES: Theorems that Guarantee MEAN VALUE

AB CALCULUS: Q204. [Derivative Applications] Lesson 1 ...mrbermel.com › AB_Calculus › NOTES › AB.1617.Q204.notes.pdf · AB.Q204.LESSON2.NOTES: Theorems that Guarantee MEAN VALUE

We Calculus!!! 3.2 Rolle s Theorem and the Mean Value Theorem.

We Calculus!!! 3.2 Rolle s Theorem and the Mean Value Theorem.