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10 Cards in this Set
- Front
- Back
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derivatives of logs
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lnx= 1/x
loga(x)= (1/lna)(1/x) ln(mess)= 1/mess * mess' loga(mess)= (1/mess)(1/lna)*mess' |
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Trig Derivatives
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sinx=cosx
cosx=-sinx tanx= sec^2x cscx= -cscxcotx secx= secxtanx cotx= -csc^2x |
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definition of derivative formula
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lim f(x+h)-f(x)
h-->0 ---------------- h |
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chain rule
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mess^n= n(mess)^n-1 *mess'
e^mess= e^mess * mess' b^mess= (lnb)b^mess*mess' sin(mess)= (cos(mess))*mess' |
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linearization
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L(x)= f(a)+f'(a)(x-a)
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linear approximation
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f(x)~f(a)+f'(a)(x-a)
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velocity gradient
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dv P
---- = ---------(-2r) dr 4nl |
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laminar flow
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v= P
--------(R^2-r^2) 4nl |
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instantaneous rate of growth
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initial#(rate of growth)^t
n'(t)= initial#(ln(rate of growth))(rate of growth)^t |
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compressibility
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B=-1 dv
------ ------- V dP |
