
Understanding Derivatives and Concavity

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Mia Campbell
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of using a ruler when identifying stationary points?
To measure the length of the curve
To calculate the slope
To draw horizontal lines
To map stationary points onto derivatives
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do pluses and minuses help in understanding the gradient of a function?
They indicate the function's speed
They show the function's direction
They represent the function's curvature
They indicate the sign of the first derivative
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a positive first derivative indicate about a function?
The function is increasing
The function is decreasing
The function is constant
The function is undefined
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does a point of inflection indicate about a function's concavity?
The function is always concave down
The function has no concavity
The function is always concave up
The concavity changes at that point
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between the first and second derivatives at a point of inflection?
Both are non-zero
Second derivative is zero, first is not
First derivative is zero, second is not
Both are zero
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which of the following is NOT a reason for a second derivative to be undefined?
The function has a vertical tangent
The function is non-differentiable
The function is discontinuous
The function is linear
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the significance of a zero in the second derivative?
It indicates a constant function
It indicates a local minimum
It indicates a point of inflection
It indicates a local maximum
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