Tangent Lines and Derivatives
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Olivia Brooks
FREE Resource
Standards-aligned
Read more
10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do we find the y-coordinate of the point of tangency?
By evaluating the function at the given x-coordinate
By using the y-intercept
By guessing
By using the slope
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the y-coordinate of the point of tangency when x = -1?
3
1
-3
0
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What do we need to determine the equation of a tangent line?
Neither the slope nor a point on the line
Both the slope and a point on the line
Only a point on the line
Only the slope of the line
Tags
CCSS.8.F.B.4
CCSS.HSF.IF.B.6
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the x-coordinate of the point of tangency in this problem?
0
1
-1
2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative of the function 3x^3 - 3x?
3x^2 - 3
9x^2 - 3
9x^3 - 3
3x^3 - 3
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line at x = -1?
9
3
6
0
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which form of a line equation is used to determine the equation of the tangent line?
Slope-intercept form
Standard form
Point-slope form
General form
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
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