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Derivative using Limits
f’(x)=[f(x+h)-f(x)]/h
Linearization
L(x)=f(a)+f’(a)(x-a)
derivative of e^x
e^x * x’
derivative of lnx
x’/x
derivative of b^x
b^x * ln(b) * x’
Elasticity of price
E(p)=dq/dp * p/q * (-1)
ln(1)
0
derivative of loga^x
1/xlna
inflation rate
I’(t)/I(t)
vertical asymptote
denom = 0
change in y
f(a+dx)-f(a)
approx change in y
f’(a)dx
exponential model
f(x) = Ab^x
Log model
A=Pe^rt
P(A|B)
[P(B|A)P(A)]/P(B)
P(A)
P(A|B)P(B) + P(A|B’)P(B’)
P(A|B) (other)
P(ANB)/P(B)
P(ANB)
P(A|B)P(B)
P(AUB)
P(A)+P(B)-P(ANB)
P(A’|B)
1-P(A|B)