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Intro Calculus

AB
f'(x)lim h>0 (f(x+h)-f(c))/h
Alternative f'(c)lim x>c (f(x)-f(c))/(x-c)
Continuityf(c) exist, lim x>c f(x) exist, lim x>c f(x) = f(c)
dconstant/dx0
a^3 - b^3(a-b)(a^2+ ab + b^2)
when you see anything +/- somethingmultiple by the conjugate
factor the0/0 problems
L-E<f(x)<L+Exo-$ <x< xo+$
g(f(x))g'(f(x))- f(x)
discontinuousthe denominator equals zero
dx/dx1
v(t)s'(t)
a(t)v'(t) or s''(t)
there is a change in direction whenv=0
average velocitydisplacement/ time
move backwards whenv<0
SA sphere4*pi*r^2
V cone(1/2) pi*r^2*h
V sphere(4/3) pi*r^3
Mean Value Theorem[f(c)= (f(b) - f(a))/ (b - a); find y' of {x,y}]
d sinxcos x
d cos x- sin x
d tan xsec^2 x
d cot x-csc^2 x
d sec xsec x tan x
d csc x-csc x cot x


Querida Campbell & Tia Brown

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