Mean Value Theorem Teacher Resources
Find Mean Value Theorem lesson plans and worksheets
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Sophia Learning
Sophia: Mean Value Theorem: Lesson 2
This lesson introduces the Mean Value Theorem and provides an example of its use. It is 2 of 6 in the series titled "Mean Value Theorem."
Wolfram Research
Wolfram Mathworld: Extended Mean Value Theorem
Site contains information on the Extended Mean Value Theorem, similar to the Mean Value Theorem, with two functions on the interval.
Math Words
Math words.com: Mean Value Theorem
A definition is given for what the mean value theorem is along with an illustrative example.
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 1 [Pdf]
The resource examines the Mean Value Theorem. Students sketch secant and tangent lines. The graph is available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 2 [Pdf]
The resource examines the Mean Value Theorem. Students sketch secant and tangent lines. The graph is available in PDF format.
Paul Dawkins
Paul's Online Notes: Average Function Value
This tutorial takes a look at using definite integrals to determine the average value of a function on an interval and also the Mean Value Theorem for integrals.
Khan Academy
Khan Academy: Calculus: 2011 Calculus Ab Free Response #4D
Video shows how to calculate the average rate of change of a function over an interval and explains why it does not contradict the Mean Value Theorem. [5:46]
Paul Dawkins
Paul's Online Notes: Calculus I: Proof of Various Integral Properties
The tutorial examines proofs of several properties of integrals. Topics discussed are the fundamental theorem of calculus, extreme value theorem, work, and mean value theorem. Class notes, proofs, and examples with detailed solutions are...
Paul Dawkins
Paul's Online Notes: Calculus I: Proofs of Derivative Applications Facts
The tutorial consists of proofs of derivative applications. Topics discussed are Fermat?s theorem, mean value theorem, and Rolle?s theorem. Class notes, definitions, and examples with detailed solutions are included. The class notes are...
Ministry of Education and Universities of the Region of Murcia (Spain)
Ministerio De Educacion Y Ciencia: Teoremas Del Calculo Diferencial
In Spanish. This interactive unit you will be able to analyze the Rolle's Theorem and the Mean Value Theorem of differentiable functions.
Paul Dawkins
Paul's Online Notes: Calculus I: Applications of Derivatives
Learners examine applications of derivatives. Topics investigated are rates of change, the mean value theorem, optimization problems, critical points, linear approximations, and Newton?s method. Class notes, definitions, and examples...
Khan Academy
Khan Academy: Calculus Ab Example Questions: 2011 Calculus Ab Free Response #4 D
Mean Value Theorem and differentiability.
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 3 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Math Graphs
Houghton Mifflin: Math Graphs: Mean Value Theorem 4 [Pdf]
The handout investigates the calculus concept that given a section of a smooth curve, there is at least one point on that section where the slope of the curve is the same as the average derivative. The exercise consists of a graph that...
Wolfram Research
Wolfram Math World: Calculus
This tutorial provides detailed overviews of the concepts and theorems associated with calculus. The number to the right of the topic indicates how many sites MathWorld has pertaining to the topic. "Funnel your way down the chain" to...
Khan Academy
Khan Academy: 2011 Calculus Ab Free Response #4 D
Mean Value Theorem and differentiability.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Applications of Derivatives
Hotmath provides 25 practice problems dealing with derivative applications. Each of the practice problems include a step-by-step guide.
Math Graphs
Houghton Mifflin: Math Graphs: Tangent and Secant Lines 1 [Pdf]
Students use the given graph to sketch secant and tangent lines. The resource consists of an enlarged printable version of a graph available in PDF format.
Math Graphs
Houghton Mifflin: Math Graphs: Tangent and Secant Lines 2 [Pdf]
Learners sketch the secant and tangent lines of a given graph. The resource includes an enlarged printable version of a graph available in PDF format.