Calculus Final Review Part 2 Theorems

• Average Rate of Change
• Average Value of f
• Intermediate Value Theorem
• Rolle's Theorem

Tags

CCSS.8.F.B.4

CCSS.HSF.IF.B.6

• Mean value theorem
• Rolle's theorem
• Intermediate Value Theorem
• Fundamental Theorem of Calculus

The intermediate value theorem (IVT) is primarily concerned with which of the following?

• y-values

• first derivative values

• second derivative values

• x-values

Tags

CCSS.HSA.APR.B.3

Which of these sums up the Mean Value Theorem (MVT)?

What does the Extreme Value Theorem remind us to do?

• Check the endpoints! They might be the max/min.

• Check the inflection points! They might be the max/min.

• Check the endpoints! They give the secant slope.

• Check the inflection points! They are when the derivative is 0.

The diagram above related to which important theorem in Calculus?

• Intermediate Value Theorem

• Extreme Value Theorem

• Mean Value Theorem

• Fundamental Theorem of Calculus

• Fundamental Theorem of Calculus (FTC)

• Mean Value Theorem (MVT)

• Extreme Value Theorem (EVT)

• Intermediate Value Theorem (IVT)

A special case of the Mean Value Theorem is illustrated above, where the slope of the secant line is exactly equal to ZERO, has also been named:

• The Intermediate Value Theorem

• Fundamental Theorem of Calculus

• Extreme Value Theorem

• Rolle's Theorem

• IVT

• EVT

• MVT

• IVT

• EVT

• MVT