First Derivative Test
Authored by Stephanie Martin
Mathematics
10th Grade - University
CCSS covered
Used 8+ times
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5 questions
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1.
MULTIPLE CHOICE QUESTION
2 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
The concavity of the function is up at that point
The concavity of the function is down at that point
Tags
CCSS.HSF.IF.B.4
2.
MULTIPLE CHOICE QUESTION
2 mins • 1 pt
For a function f(x), f'(-3) = 5 indicates f(x) is ___________ at x=-3.
increasing
decreasing
concave up
concave down
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Over what interval(s) is f(x) decreasing?
(-3, 1)
(-∞, -5) ∪ (0, 2)
(-∞, -3) ∪ (1, ∞)
(-5, 0) ∪ (2, ∞)
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
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
3 mins • 1 pt
Over what intervals is f(x) decreasing?
(-∞, -1) ∪ (1, ∞)
(-∞, -√3) ∪ (0, √3)
(-1, 1)
(-√3, 0) ∪ (√3, ∞)
Tags
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
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