Calc for Business 4.1-4.3 formulas
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Last updated 7:39 PM on 10/29/25
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24 Terms
1
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what is the base of exponential functions?
a>0
2
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FV=
P(1+r/m)^mt
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PV=
P/(1+r/m)^mt
4
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FV compounded continuously=
Pe^rt
5
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PV compounded continuously=
Pe^-rt
6
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loga(x)=y
a^y=x
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Population=
P0e^rt
8
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lne1=0
e^0=1
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lne=1
e^1=e
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lne^x=x
e^x=x
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e^lnx=x
x>0
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ln(M*N)=
lnM+lnN
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ln(M/N)=
lnM-lnN
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ln(M^P)=
PlnM
15
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find t for doubled in value
2=(1+r/m)^mt
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d/dxlnx=
1/x
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d/dxlnf(x)=
f’(x)/f(x)
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d/dxe^x=
e^x
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d/dxe^f(x)=
e^f(x)*f’(x)
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d/dx(e)^kx=
k(e)^kx
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d/dxln(1+e^x)=
e^x/1+e^x
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expenditure, e(p)=
P*D(p)
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rroc, d/dtlnf(t)=
f’(t)/f(t)
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lnM^P=
PlnM
Note 
Flashcards (63)