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How to find the equation for a normal line:
Take the derivative of the tangent line at the point on the curve
How to find the limit when x approaches infinity
see if the y asymptote is y=0
Divide the numerator by the denominator by the highest power
Derivative of sin
cos
Derivative of cos
-sin
arcsin’=
u’
________
sq root 1-u²
-u’
_________
sq root 1-u²
arccos
arctan
u’
_________
1+u²
arccot
-u’
—-——
1+u²
arccsc
u’
|u| sq root u²-1
arcsec
u’
|u| sq root u²-1
tan derivative
sec²
csc derivative
-csc x cot²
cot derivative
-csc²x
derivative of sec
sec(x) x tan(x)
(Ln(x))’
1/x
(1/x)’
-x-²