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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 10

Answers

1
If a function is differentiable, then it is continuous.
Sometimes FALSE
Always TRUE
Never TRUE
Always FALSE
2
This Theorem does the following...
Differentiability implies Continuity
Rolle's Theorem
Intermediate Value Theorem
Extreme Value Theorem
3
The contrapositive of this Theorem allows us to determine the points on a curve...
Mean Value Theorem
Fundamental Theorem
Intermediate Value Theorem
Differentiability & Continuity
4
This is the extension of Rolle's Theorem...
Rolle's Theorem
Mean Value Theorem for Derivatives
Extreme Value Theorem
Mean Value Theorem for Definite Integrals
5
Which of the following does this Theorem NOT imply...
Differentiation and Integration are Inverse processes
Every continuous function has an Antiderivative
The derivative of an integral is the function itself
The Total Change of the Function is the Integral
6
This Theorem states...
Mean Value Theorem for Definite Integrals
Mean Value Theorem for Derivatives
Extreme Value Theorem
FundamentalTheorem of Calculus
7
Establishes that AROC is equal to IROC
Extreme Value Theorem
Mean Value Theorem
Fundamental Theorem of Calculus
Intermediate Value Theorem
8
Parts I and II...
Mean Value Theorem for Derivatives
Mean Value Theorem for Definite Integrals
Fundamental Theorem of Calculus
Total Distance Theorem
9
If a function is continuous, then it is differentiable.
Always TRUE
Sometimes FALSE
Sometimes TRUE
Always FALSE
10
Which Theorem is this?
Mean Value Theorem for Derivatives
Intermediate Value Theorem
Extreme Value Theorem
Rolle's Theorem