Understanding Tangent Lines and Derivatives
Interactive Video
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
•
Hard
+2
Standards-aligned
Ethan Morris
FREE Resource
Standards-aligned
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the initial function given in the problem?
f(x) = x^2 + 2x
f(x) = 2x + x^2
f(x) = 2x - x^2
f(x) = x^2 - 2x
Tags
CCSS.HSF.BF.B.3
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the purpose of finding the derivative function in this problem?
To find the y-intercept of the function
To find the maximum value of the function
To calculate the area under the curve
To determine the slope of the tangent line
Tags
CCSS.HSA.REI.A.1
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the expression for the difference quotient used in the limit definition of the derivative?
(f(x+h) + f(x))/h
(f(x) - f(x+h))/h
(f(x) + f(x+h))/h
(f(x+h) - f(x))/h
Tags
CCSS.HSA.REI.A.1
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the derivative function f'(x) derived from the given function?
f'(x) = 2 - 2x
f'(x) = 2x + 2
f'(x) = 2 + 2x
f'(x) = 2x - 2
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you find the slope of the tangent line at a specific point using the derivative function?
Evaluate the derivative at the given x-coordinate
Integrate the derivative function
Evaluate the derivative at x = 0
Find the second derivative
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the slope of the tangent line at the point (-2, -8)?
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7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Which form is used to find the equation of the tangent line?
Standard form
Slope-intercept form
Point-slope form
Vertex form
Tags
CCSS.HSA-SSE.B.3B
CCSS.HSF-IF.C.8A
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