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What is the derivative of ex?
ex is the derivative
What is the derivative of lnx?
1/x is the derivative
What is the derivative of sinx?
cosx is the derivative
What is the derivative of cosx?
-sinx is the derivative
What is the derivative of tanx?
1/cos2x  or  sec2x is the derivative
what is f`(x) of f(x)=h(g(x))?
f`(x)=g`(x)*h`(g(x))
How do you convert degrees to radians?
multiply by (π/180) to get this
How do you convert radians to degrees?
multiply radians by (180/π) to get this
What does edec=?
=ed+c
What does ed/ec=?
=ed-c
What does (ed)c=?
=ed*c
What does ln e =?
=1
Simplify ln7x
ln7+lnx
simplify elne^2
e2
simplify elne^2+13
= (elne^2)*(e13) > e2*e13> e15
what is the derivative of elnx
=1
(elnx) = x, the deriv of x is 1

what is the derivative of cos
2
x

(2(cosx))(sinx)
Sine wave
Cosine wave
What is the period of a cosine or sine wave?
sin(0)=?
0
cosine(0)=?
1
a function is
is a rule that takes certain numbers as inputs and assigns to each a definite output
number.
The domain is
the set of all input numbers is called this
The range is
the set of
resulting output numbers
The set of numbers t such that a ≤ t ≤ b is written
[a,b]
The set of numbers t such that a < t < b is written
(a,b)
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.
Replacing y by (y − k) moves a graph
moves a graph up by k (down if k is negative)
Replacing x by (x − h)
moves a graph to the right by h (to the left if h is negative).
f is an even function if
f(−x) = f(x) for all x.
f is an odd function if
f(−x) = −f(x) for all x.
A function has an inverse if (and only if)
its graph intersects any horizontal line at most once.
f−1(y) = x means
y = f(x)
logx=C  means
10c=X means this
lnx=c means
ec=X
elnx=
x
lnex=
x
cos2 t + sin2 t =
= 1 (for t radians in a unit circle)
Amplitude-
Half the distance between the maximum and minimum values (if they exist)
Period
the smallest amount of time needed to complete one cycle
Tan function has a period of
Π
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