
Differentiation Rules and Tangent Lines
Authored by Jonathan Fung
Mathematics
10th - 12th Grade
CCSS covered
Used 8+ times

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15 questions
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1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Find the derivative of the given equation
f(x) = 7
f'(x) = 7
f'(x) = 0
f'(x) = 7x
f'(x) = 14
2.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the derivative of the given function
f(x) = 1/x2
f'(x) = 1/2x
f'(x) = -2x
f'(x) = 2x
f'(x) = -2/x3
3.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find f '(2) if
f(x) = x2 + 2x
2x + 2
6
12
2x
4.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the derivative of the given equation
f(x) = x3 + x2 + 3
f'(x) = 3x2 + 2x
f'(x) = 3x + 2x
f'(x) = 3x + 2x + 3
f'(x) = x3 + x2
5.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the derivative of the given function
f(x) = 1 - x2
f'(x) = 1 - 2x
f'(x) = -2x
f'(x) = -2
f'(x) = -1
6.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Find the derivative of the given function
f(x) = x4 + 4x3 - 2x2
f'(x) = x3 + x2 - x
f'(x) = 4x3 + 12x2 + 4x
f'(x) = 4x + 12x - 4x
f'(x) = 4x3 + 12x2 - 4x
7.
MULTIPLE CHOICE QUESTION
5 mins • 1 pt
Differentiate f(x) =(2/ x5) - 5.
f'(x) = x5-3
f'(x) = -10x6
f'(x) = x5-5
f'(x) = -10/x6
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