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14 Cards in this Set

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  • Back
inverse sine deriv
1/sqr(1+u^2) du
inv tan deriv
1/(1+u^2) du
inv sec deriv
1/abs(u)sqr(u^2-1) du
deriv a^u
a^u ln(a) du
deriv log u base a
1/uln(a) du
maximum profit
marg rev=marg cost
minimal ave cost
marg cost=ave cost
linearization
L(x)=f(a)+f'(a)(x-a)
Newton's method
x=x0 - f(x0)/f'(x0)
trapezoidal rule
h/2 (y0+2y1+...+2yn-1+yn)
Simpson's rule
h/3 (1 4 2 4 2 4 1)
Integration by parts
int(u dv)=uv-int(v du)
Newton's law of cooling
T-Ts=(T0-Ts)e^-kt
Euler's method
y1=y0+f(x0, y0)dx