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Derivative Formulas
Calculus BC
20
Mathematics
12th Grade
09/12/2010
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Term
f'(uv)
 Definition
uv' + vu'
Term
f'(c)
 Definition
0
Term
f'(x)
 Definition
1
Term
f' (u +or- v)
 Definition
u' +or- v'
Term
f'(u/v)
 Definition
vu'-uv'/v^2
Term
f'(u^n)
 Definition
(nu^(n-1))(u')
Term
f'(ln u)
 Definition
u'/u
Term
f'(e^u)
 Definition
(e^u)(u')
Term
f'(sin u)
 Definition
(cos u)(u')
Term
f'(cos u)
 Definition
-(sin u)(u')
Term
f'(tan u)
 Definition
(sec^2 u)(u')
Term
f'(sec u)
 Definition
(sec u tan u)(u')
Term
f'(csc u)
 Definition
-(csc u cot u)(u')
Term
f'(cot u)
 Definition
-(csc^2 u)(u')
Term
f'(arcsin u)
 Definition
(u')/(√1-u^2)
Term
f'(arccos u)
 Definition
(-1)(u')/(√1-u^2)
Term
f'(arctan u)
 Definition
(u')/1+ u^2
Term
f'(arcsec u)
 Definition
(u')/(|u|(√u^2 -1))
Term
f'(arccot u)
 Definition
(-1)(u')/1+u^2
Term
f'(arccsc u)
 Definition
(-1)(u')/(|u|(√u^2 -1))
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