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Calculus Power Rule + Line (Unit 3 Day 6) Flashcards | StudBud
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Calculus Power Rule + Line (Unit 3 Day 6)
f'(2) = 3. What is the slope of the normal line at x = 2?
f'(-2) = ...
Calculus Power Rule + Line (Unit 3 Day 6)
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#Calculus #Derivatives
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
f'(-2) = ...
0
-8
4
-4
2
f'(2) = 3. What is the slope of the normal line at x = 2?
-1/3
-3
0
1/3
3
f'(3) = 1/5. What is the slope of the normal line at x = 3?
5
-1/5
-5
1/5
4
What is the derivative of y = -4x
3
+ 7x + 2
y' = -4
y' = -12x2 + 7
y' = -12x2 + 9
y' = -12x2 +7x
5
f'(x) = ...
4/x
-4/x3
-4/x
4/x3
6
Function
f
goes through (-2, 3).
f'(-2)
= 4. What is the equation of the tangent line?
y = 4x - 2
y = 4x + 3
y + 2 = 4(x - 3)
y - 3 = 4(x + 2)
7
What is the equation of the tangent line at (1, -7)?
y + 7 = -4(x - 1)
y + 7 = (6x - 10)(x - 1)
y - 1 = -4(x + 7)
y + 7 = 6(x - 1)
8
f'(x) = ...
(1/5)x
0
1/5
5
9
f'(x) = ...
x/3
x2/2
3x2
x2/6
10
What is the derivative of f(x) = 4x
3
?
f'(x) = 12x2
f'(x) = 7x
f'(x) = 12x
f'(x) = 7x2