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45 Cards in this Set
- Front
- Back
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cos u'
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-sin u * u'
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tan u'
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sec^2 u * u'
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sec u'
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sec u tan u * u'
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cot u
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-csc^2 u * u'
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csc u '
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-cot u csc u * u'
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e^u '
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e^u * u'
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a^u '
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a^u * u' * ln a
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ln u '
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u'/u
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y = log(a) x
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a^y = x
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d/dx
arccos u |
-u' / sqrrt (1 - u^2)
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d/dx
acrsinx |
u' / sqrrt (1 - u^2)
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d/dx
arcttan u |
u' / (1 + u^2)
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d/dx
arccot u |
-u' / (1 + u^2)
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d/dx
arccsc u |
-u' / [u] sqrrt (u^2 - 1)
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d/dx
arcsec u |
u' / [u] sqrrt (u^2 -1)
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d/dx of the inverse of f(x)
f(-1) x ' |
1 / f ' ( f (-1) x )
1 / derivitive of inverse of fx fx=sin x f-x=arcsinx arcsinx' = 1/ cos(arcsin) |
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chain rule / power rule
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d/dx u^n = n*u ^ (n-1) * u'
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d/dx
tan x |
sec^2 x
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d/dx
sec x |
sec x tan x
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d/dx
cot x |
- csc^2 x
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d/dx
csc x |
- tan x csc x
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d/dx
sin x |
cos x
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d/dx
cos x |
- sin x
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the quotient rule
d/dx u/v |
( v * u' - u * v' ) / v^2
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the product rule
d/dx u*v |
u * v ' + v * u '
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sum & difference rule
d/dx u+-v |
u ' +- v '
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constant multiple rule
d/dx c*u |
c* u '
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Quadradic formula
ax^2 + bx + c |
-b +- sqrrt (b^2 - 4 *a *c) / 2a
all over 2a |
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definition of absolute value
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[x] =
x, x>= 0 -x, x<0 |
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even functions
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f(-x) = f(x) symetry = y-axis
cos(x) |
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odd functions
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f(-x) = -f(x) symetry= orgin
sin(x) |
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area of equilateral triangle
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(S^2 * sqrrt 3) / 4
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area of trapizoid
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(a + b) * h/2
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sin^2 x + cos ^2 x
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1
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1 + tan ^2 x
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sec ^2 x
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1 + cot^2 x
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csc^2 x
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lim x--> o
sin(x) / x |
1
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lim x--->0
(1 - cosx)/x |
0
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lim x--> infin, - infin
sin (x) / x |
0
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ln (1)
ln (e) |
0
1 |
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slope of tangent curve definition
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m = f(x+h) - f(x) / h
lim h-->0 |
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average rate of change
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( f(b) - f(a) ) / ( b-a )
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average velocity
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displacement / time
change in position / change in time |
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speed
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absolute value [velocity]
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acceleration, velocity, speed, respect to time
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a(t)= v ' (t) = s '' (t)
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