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First Derivative Test

Authored by Melissa Polson

Mathematics

11th - 12th Grade

CCSS covered

Used 18+ times

First Derivative Test
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16 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Over what interval(s) is f(x) decreasing?

(-3, 1)
(-∞, -5) ∪ (0, 2)
(-∞, -3) ∪ (1, ∞)
(-5, 0) ∪ (2, ∞)

Tags

CCSS.HSA.REI.D.10

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

If a function's FIRST derivative is negative at a certain point, what does that tell you?

The function is increasing at that point.

The function is decreasing at that point.

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

When you check for sign changes at the critical points of a function, you are using the...

Limit Test

Intermediate Value Test

1st Derivative Test

2nd Derivative Test

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

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

a maximum at x = -2.

a minimum at

x = -2 and a maximum at x = 4.

a maximum at

x = -2 and a minimum at x = 4.

no maximum or minimum values.

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

True or False?

All critical points are extrema (maximums or minimums).

True

False

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.TF.A.4

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

True or False?

If the 1st derivative is positive on a certain interval, then that interval is decreasing.

True

False

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