AP Calculus: Memorization

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16 Terms

1
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1 =

sin²x+cos²x

2
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(identity) sec²x =

1 + tan²x

3
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(identity) csc²x=

1 + cot²x

4
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sin(2x)

= 2sin(x)cos(x)

5
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cos(2x)

= cos²(x) - sin²(x)

6
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tan(2x)

= (2tanx)/(1 - tan²x)

7
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d/dx [tan(x)]

= sec²(x)

8
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d/dx [csc(x)]

= -csc(x)cot(x)

9
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d/dx [sec(x)]

= sec(x)tan(x)

10
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d/dx [cot(x)]

= -csc2x

11
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d/dx [ax]

= axln(a)

12
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d/dx [logax]

= 1/(xln(a))

13
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even function

f(x) = f(-x)

14
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odd function

f(-x) = -f(x)

15
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a function with an inverse

one-to-one OR horizontal line test

16
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L(x) =

f(a) + f’(a)(x-a)