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Front | Back | ||
What is the derivative of ex?
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ex is the derivative
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What is the derivative of lnx?
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1/x is the derivative
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What is the derivative of sinx?
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cosx is the derivative
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What is the derivative of cosx?
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-sinx is the derivative
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What is the derivative of tanx?
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1/cos2x or sec2x is the derivative
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what is f`(x) of f(x)=h(g(x))?
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f`(x)=g`(x)*h`(g(x))
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How do you convert degrees to radians?
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multiply by (π/180) to get this
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How do you convert radians to degrees?
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multiply radians by (180/π) to get this
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What does edec=?
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=ed+c
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What does ed/ec=?
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=ed-c
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What does (ed)c=?
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=ed*c
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What does ln e =?
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=1
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Simplify ln7x
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ln7+lnx
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simplify elne^2
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e2
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simplify elne^2+13
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= (elne^2)*(e13) > e2*e13> e15
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what is the derivative of elnx
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=1
(elnx) = x, the deriv of x is 1 | ||
what is the derivative of cos2x |
(2(cosx))(−sinx)
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Sine wave
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Cosine wave
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What is the period of a cosine or sine wave?
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2Π
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sin(0)=?
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0
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cosine(0)=?
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1
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a function is
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is a rule that takes certain numbers as inputs and assigns to each a definite output
number. | ||
The domain is
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the set of all input numbers is called this
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The range is
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the set of
resulting output numbers | ||
The set of numbers t such that a ≤ t ≤ b is written
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[a,b]
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The set of numbers t such that a < t < b is written
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(a,b)
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To recognize that a table of t and P values comes from an exponential function P = P0at,
look for |
ratios of P values that are constant for equally spaced t values.
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Replacing y by (y − k) moves a graph
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moves a graph up by k (down if k is negative)
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Replacing x by (x − h)
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moves a graph to the right by h (to the left if h is negative).
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f is an even function if
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f(−x) = f(x) for all x.
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f is an odd function if
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f(−x) = −f(x) for all x.
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A function has an inverse if (and only if)
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its graph intersects any horizontal line at most once.
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f−1(y) = x means
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y = f(x)
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logx=C means
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10c=X means this
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lnx=c means
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ec=X
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elnx=
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x
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lnex=
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x
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cos2 t + sin2 t =
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= 1 (for t radians in a unit circle)
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Amplitude-
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Half the distance between the maximum and minimum values (if they exist)
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Period
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the smallest amount of time needed to complete one cycle
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Tan function has a period of
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Π
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x of y cards |