unit 2 ap calc

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Last updated 9:18 PM on 3/14/24
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15 Terms

1
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power rule

y=cx^n y’=ncx^(n-1)

2
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product rule

y’=fg’ + gf’

3
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quotient rule

(gf’-fg’)/(g²)

4
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chain rule

f’(g(x))g’

5
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y=sin(u)

y’=acos(u)

6
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y=cos(u)

y’=-asin(u)

7
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y=tan(u)

y’=asec²x

8
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y=csc(u)

y’=-acotxcscx

9
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y=sec(u)

y’=asecxtanx

10
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y=cot(u)

y’=acsc²x

11
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differential definition

f’(x)=lim f(x+h)-f(x)

h>0 h

12
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distances formula

((x-x)²+(y-y)²)^1/2

13
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arcsin(u)

1/(1-u²)^1/2

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arccos(u)

-1/(1-u²)^1/2

15
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arctan(u)

1/(1+u²)