Calculus: Derivatives and Limits

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1
sin
cos(x)
2
cos(x)
-sin(x)
3
tan(x)
$sec^2(x)$
4
cot(x)
$-csc^2(x)$
5
sec(x)
sec(x)tan(x)
6
csc(x)
-csc(x)cot(x)
7
Linearzation Formula
$f(x) + f'(x)(x-a)$
8
Derivative my Limit Definition formula
$(f(x+h)+f(x))/(h)$
9
h.a. degree is equal
take coeffecients
10
h.a. bottom degree is greater
h.a. is 0
11
h.a. top degree is greater
no h.a.
12
newtons method
$x_(n+1)= x_n - ((f(n))/(f'(n)))$
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