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36 Cards in this Set
- Front
- Back
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d/dx [cu]= |
cu' |
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d/dx [u (+ - ) v]= |
u' (+ - ) v' |
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d/dx [uv]= |
uv' + vu' |
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d/dx [u/v]= |
(vu'-uv')/v^2 |
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d'dx [c]= |
0 |
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d/dx [u^n]= |
nu^(n-1) u' |
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d/dx [x]= |
1 |
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d/dx [|u|]= |
(u/|u|) (u') |
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d'dx [In u]= |
u'/u |
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d'dx [e^u]= |
(e^u) (u') |
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d'dx [log base a u]= |
u'/(In a)(u) |
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d/dx [a^u]= |
(In a)(a^u)u' |
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d/dx [sin u]= |
(cos u)u' |
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d/dx [cos u]= |
-(sin u)u' |
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d/dx [tan u]= |
(sec^2 u)u' |
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d/dx [cot u]= |
-(csc^2 u)u' |
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d/dx [sec u]= |
(sec u tan u)u' |
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d/dx [csc u]= |
-(csc u cot u)u' |
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d/dx [arcsin u]= |
u'/sqrt 1-u^2 |
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d/dx [arccos u]= |
-u'/sqrt 1-u^2 |
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d/dx [arctan u]= |
u'/1+u^2 |
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d/dx [arccot u]= |
-u'/1+u^2 |
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d/dx [arcsec u]= |
u'/ |u|sqrt u^2-1
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d/dx [arccsc u]= |
-u'/|u|sqrt u^2-1 |
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d/dx [sinh u]= |
(cosh u)u' |
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d/dx [cosh u]= |
(sinh u)u' |
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d/dx [tanh u]= |
(sech^2 u)u' |
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d/dx [coth u]= |
-(csch^2 u)u' |
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d/dx [sech u]= |
-(sech u tanh u)u' |
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d/dx [csch u]= |
-(csch u coth u)u' |
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d/dx [sinh ^-1 u]= |
u'/ sqrt u^2 +1 |
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d/dx [cosh^-1 u]= |
u/ sqrt u^2 -1 |
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d/dx [tanh^ -1 u]= |
u'/ 1-u^2 |
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d/dx [coth^ -1 u]= |
u'/ 1-u^2 |
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d/dx [sech^ -1 u]= |
-u'/ u sqrt 1-u^2 |
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d/dx [csch ^-1 u]= |
-u'/|u| sqrt 1+u^2 |
