F&F Q1 Flashcards
volume for cone
V= 1/3(3.14)r^2(h)
volume for sphere
V=4/3(3.14)r^3
sin^2 X + cos^2 X=
1
1+tan^2 X =
sec^2 X
cot^2 X + 1
csc^2 X
sin2u=
2sin(u)cos(u)
cos2u=
1) cos^2 u - sin^2 u
2) 2cos^2 u - 1
3) 1-2sin^2 u
definition of even function
crosses y axis
definition of odd func
crosses origin
lim sin(x) / x x->0
1
lim 1-cos(x) / x
x->0
0
a function is continuous if
lim = lim
x->a^- x+a^+
lim = f(a)
x->a
types of discontinuity
jump
infinite
removable
oscillating
secant line
straight line crossing 2 points related to roc
how do you find a limit approaching + and - ∞
find horizontal / slant asymptote
when does a derivative not exist
discontinuity
corner
cusp
verticals tangent line
instantaneous velocity / rate of change
related to tangent & derivative
average velocity
slope/ average ROC / secant
product rule
u’v + uv’
quotient rule
u’v - uv’ / v^2
chain rule
f(u) • u’
power rule
x^n nx^n-1
derivative of all 6 trig funcs
sinx=cosx cosx=-sinx tanx=sec^2 X cotx = -csc^2 X secx = secxtanx cscx = - cscxcotx
volume for cylinder
V= 3.14r^2
