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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 | |||
