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derivative of arcsin
1/(sqrt(1-x^2))
derivative of arccos
-1/(sqrt(1-x^2))
derivative of arcsec
1/(|x| * sqrt(x^2-1))
derivative of arccsc
-1/(|x| * sqrt(x^2-1))
derivative of arctan
1/(1+x^2)
derivative of arccot
-1/(1+x^2)
derivative of inverse function

table derivative for trig

expeonetnial and logistic plus differential equation
K = carry capacity/max | k = growth rate | P = populartion | dP/dt = how fast its changing. Exponential is proportional, thus kP. Max growth rate for logistic is at P = K/2.

tan-1(infinity)
pi/2