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The BIG THEOREMS OF CALCULUS Flashcards | StudBud

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The BIG THEOREMS OF CALCULUS

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Theorems of Calculus #calculus #theorems

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Questions 8

Answers

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