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BIG THEOREMS OF CALCULUS Flashcards | StudBud

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BIG THEOREMS OF CALCULUS

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Theorems of Calculus

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Questions 9

Answers

1
Establishes that Average rate of change is equal to Instantaneous rate of change
Extreme Value Theorem
Mean Value Theorem
Fundamental Theorem of Calculus
Intermediate Value Theorem
2
This is the extension of Rolle's Theorem...
Mean Value Theorem for Definite Integrals
Extreme Value Theorem
Mean Value Theorem for Derivatives
Rolle's Theorem
3
If a function is differentiable, then it is continuous.
Never TRUE
Always FALSE
Always TRUE
Sometimes FALSE
4
This Theorem states...
Mean Value Theorem for Derivatives
Mean Value Theorem for Definite Integrals
FundamentalTheorem of Calculus
Extreme Value Theorem
5
The contrapositive of this Theorem allows us to determine the points on a curve...
Fundamental Theorem
Differentiability & Continuity
Intermediate Value Theorem
Mean Value Theorem
6
Which Theorem is this?
Extreme Value Theorem
Rolle's Theorem
Mean Value Theorem for Derivatives
Intermediate Value Theorem
7
Parts I and II...
Fundamental Theorem of Calculus
Total Distance Theorem
Mean Value Theorem for Derivatives
Mean Value Theorem for Definite Integrals
8
If a function is continuous, then it is differentiable.
Always TRUE
Sometimes FALSE
Sometimes TRUE
Always FALSE
9
This Theorem does the following...
Intermediate Value Theorem
Differentiability implies Continuity
Rolle's Theorem
Extreme Value Theorem