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Calculus Derivatives and Antiderivatives Flashcards | StudBud
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Calculus Derivatives and Antiderivatives
Calculus Derivatives and Antiderivatives
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High School Calculus review on derivatives and antiderivatives.
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Questions
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Answers
1
What is the antiderivative of -csc(x)cot(x)?
csc(x) + C
-cot2(x) + C
-tan2(x) + C
tan2(x) + C
2
What is the derivative of sin(x)cos(x)?
cos2(x)
-cos(x)sin(x)
-sin2(x) - tan2(x)
-sin2(x) + cos2(x)
3
what is the antiderivative of sin(x)?
cos(x)
-tan(x) + C
-cos(x) + C
cos(x) + C
4
What is the antiderivative of csc
2
(x)?
-sin2(x) + C
cot(x) + C
-cot(x) + C
csc(x)cot(x) + C
5
What is the antiderivative of sec(x)tan(x)?
sec(x) + C
tan(x) + C
cot(x) + C
-csc(x) + C
6
What is the derivative of sin(x)?
tan(x)
cos(x)
csc(x)
-cos(x)
7
What is the antiderivative of 2x
3
+ 10x?
1/2(x)4 + 5x2 + C
12x4 + C
6x2 + 10
6x2 + 10 + C
8
What is the derivative of tan(x)?
sec(x)tan(x)
sec(x)
-csc2(x)
sec2(x)
9
What is the derivative of csc(x) + sec(x)
tan(x) + cot(x)
csc(x)cot(x) + sec(x)tan(x)
tan(x) - cot(x)
sec(x)tan(x) - csc(x)cot(x)
10
What is the derivative of sin(10x + 3)?
10cos(10x + 3)
sin(10x) + cos(3)
cos(10x) + cos(3)
10sin(10x + 3)