Understanding Tangent Lines and Derivatives
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
Sophia Harris
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the general form of the function f(x) discussed in the video?
f(x) = x^2 - Kx
f(x) = x^2 + Kx
f(x) = 1/x^2 - Kx
f(x) = 1/x^2 + Kx
Tags
CCSS.8.EE.C.7B
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What value is assigned to the constant k in the video?
5
3
2
4
Tags
CCSS.8.EE.B.6
CCSS.8.F.A.3
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the form of the equation for a line?
Y = mx + b
Y = mx - b
Y = m/x - b
Y = m/x + b
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the slope of the tangent line determined?
By evaluating the derivative at x = 6
By evaluating the derivative at x = 3
By evaluating the derivative at x = 4
By evaluating the derivative at x = 5
Tags
CCSS.8.EE.B.5
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of the slope m when x = 4?
-5/16
5/16
-3/16
3/16
Tags
CCSS.HSF.IF.A.2
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-coordinate of the point on the curve when x = 4?
1/2
1/3
1/4
1/5
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the value of b, the y-intercept, in the tangent line equation?
4.5
2.5
3.5
1.5
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