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Limits, concavity, derivatives review

Authored by April Wisniewski

Other

12th Grade

CCSS covered

Used 5+ times

Limits, concavity, derivatives review
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31 questions

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1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

When f'(x) changes from negative to positive, there is(are) ...

a maximum.
a minimum.
no extrema.

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Use the sign chart for f'(x).
There is(are) ...

a local maximum at x = -2.
a local maximum at x = 4.
local maxima at x = -2 and x = 4.
no extrema.

3.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the intervals of concavity for

f(x) = x2 + 2x + 1.

concave up: (-∞,∞)

concave down: (-∞,∞)

concave up: (2, ∞)

concave down: (-∞,2)

concave up: (-∞,2)

concave down: (2, ∞)

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

 If (a,b) is a local minimum, then what will be true about f'(a)?

It's positive
It's negative
It's zero
Cannot be determined

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Media Image

Identify the interval from the derivative graph where the function is concave up.

(-1,1) & (3,4)
(-3,-2)
(-2,-1)
(-3,-1) & (1,3)

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

The concavity of a function is described by its _______________.

first derivative
second derivative
third derivative
expression

7.

MULTIPLE SELECT QUESTION

1 min • 1 pt

If f'(x) = 0 what does that imply about the x value?

It is a critical point, it is a possible max, min, or point of inflection.

That the limit does not exist.

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