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33 Cards in this Set
- Front
- Back
derive ln(x)
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1/tdt
so integral of 1/t dt = ln(x) |
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ln 1 =
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0
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ln(ab)=
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ln a + ln b
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ln (a ^n)
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n ln(a)
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ln(a/b)
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ln(a)-ln(b)
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e is?
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the base for natural log
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ln e =
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1
also, integral 1/t dt from 1 to e |
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derive nat log:
ln(u) |
1/u*(du/dx)
only include the du dx if the u is a chain rule and not just an x |
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d/dx of ln abs(u)
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u'/u
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integral 1/x
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ln abs (x)
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integrate (1/u)
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ln abs(u) + c
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integral sin u
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-cos u +c
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integral cos u
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sin u + c
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integral tan u
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ln abs(sin u ) + c
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inverse of the natural log is the
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natural exponential function,
f^-1(x)=e^x |
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e^a*e^b=
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e^a+b
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e^a/e^b
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e^a-b
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d/dx e^u
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e^u*(du/dx)
only include the du/dx if the u is a chain rule, if not the e^x derives to itself. |
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integral of e^u du
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e^u+c
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a^x=
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(ln a)*a^x
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loga(x)=
log base a of x |
1/(ln a)*(ln x)
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d/dx (a^u)=
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(ln a)*a^u *du/dx
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d/dx (log a u)
derivative, log base a of u |
1/((ln a)u) * du/dx
only additional multiply for du/dx if its a chain rule |
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d/dx u^n
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n*u^(n-1) * du/dx
only additional multiply for du/dx if its a chain rule |
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inverse trig functions: input/output ?
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input ratio and output angle
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accoridn gto the formula sheet, the what are the formulas of the functions not given :
arcsin -> arctan -> arcsec -> |
arccos
arccot arccsc all now include a negative u' on top. |
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exponential growth and decay model
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y=Ce^kt
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d/dx ln(u)
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u'/u
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ln(0)
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undefined
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e^1
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e
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cos(0)
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1
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sin(0)
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0
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e^0
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1
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