AP Calculus AB Review
Terms
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- 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