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Calculus: Basic Differentiation Rules
Derivatives and Integrals
18
Mathematics
Undergraduate 2
02/25/2013
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Term
d/dx[cu]
 Definition
cu'
Term
d/dx[u+or-v]
 Definition
u'+or-v'
Term
d/dx[uv]
 Definition
u'v+uv'
Term
d/dx[u/v]
 Definition
(u'v-uv')/(v^2)
Term
d/dx[c]
 Definition
0
Term
d/dx[u^n]
 Definition
[nu^(n-1)]u'
Term
d/dx[x]
 Definition
1
Term
d/dx[abs(u)]
 Definition
[(u)/abs(u)]u'
Term
d/dx[ln(u)]
 Definition
u'/u
Term
d/dx[e^u]
 Definition
(e^u)u'
Term
d/dx[log base a (u)]
 Definition
u'/[(ln a)u]
Term
d/dx[a^u]
 Definition
(ln a)[a^u]u'
Term
d/dx[sin u]
 Definition
u'(cos u)
Term
d/dx[cos u]
 Definition
u'(-sin u)
Term
d/dx[tan u]
 Definition
u'(sec^2 u)
Term
d/dx[cot u]
 Definition
u'(-csc^2 u)
Term
d/dx[sec u]
 Definition
u'(sec u tan u)
Term
d/dx[csc u]
 Definition
u'[-(csc u cot u)]
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