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Calculus II
Integrals and derivatives to remember
12
Mathematics
Undergraduate 2
09/21/2010
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Term
sin'(x)
 Definition
cos(x)
Term
cos'(x)
 Definition
-sin(x)
Term
tan'(x)
 Definition
sec^2(x)
Term
sec'(x)
 Definition
sec(x)tan(x)
Term
cot'(x)
 Definition
-csc^2(x)
Term
ln'(u)
 Definition
u'/u
Term
e^u'
 Definition
u'e^u
Term
a^x'
 Definition
a^x*ln(a)
Term
sin^-1'(x)
 Definition
1/sqrt(1-x^2)
Term
tan^-1(x)
 Definition
1/(1+x^2)
Term
Inverse Euler's for
cos(x)
 Definition
1/2 e^(jx)+e^(-jx)
Term
Inverse Euler's
sin(x)
 Definition
1/2j e^(jx)-e^(-jx)
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