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45 Cards in this Set

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  • Back
d/dx [C]
0
d/dx [kx]
k
d/dx [k f(x)]
k f'(x)
d/dx [f(x) +- g(x)]
f'(x) +- g'(x)
d/dx [x^n]
nx^(n-1)
d/dx [sinx]
cosx
d/dx [cosx]
-sinx
d/dx [tanx]
sec²x
d/dx [secx]
secxtanx
d/dx [cotx]
-csc²x
d/dx [cscx]
-cscxcotx
$ 0dx
C
$ kdx
kx + C
$ kf(x)dx
k $f(x)dx
$ [f(x) +- g(x)]
$f(x) + $g(x)
$ x^ndx
(x^(n+1))/(n+1) + C
$ cosxdx
sinx + C
$ sinxdx
-cosx + C
$ sec²x
tanx + C
$ secxtanx
secx + C
$ csc²x
-cotx + C
$ cscxcotxdx
-cscx + C
d/dx [ln x]
1/x
d/dx [ln u]
1/u du
d/dx [ln |u|]
1/u du
d/dx [e^x]
e^x
d/dx [e^u]
e^u du
d/dx [e^e]
o
d/dx [x^e]
ex^(e-1)
d/dx [a^x]
(ln a)a^x
d/dx [a^u]
(ln a)a^u du
d/dx [loga x]
1/((ln a)x)
d/dx [loga u]
1/((ln a)u)
$ 1/x dx
ln |x| + C
$ 1/u du
ln |u| + C
$ e^x dx
e^x + C
$ e^u du
e^u + C
$ a^x dx
(1/(ln a))a^x + C
$ sinu du
-cosu + C
$ cosu du
sinu + C
$ tanu du
-ln |cos u| + C
$ cotu du
ln |sin u| + C
$ secu du
ln |secu + tanu| + C
$ cscu du
-ln |cscu + cotu| + C
When should you use long division?
When the degree of the numerator is equal to or larger than the degree of the denominator