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# Calculus - Exam 2

### Derivatives, etc.

d/dx[k] (k = constant) 0
d/dx[x^n] nx^(n-1)
d/dx[f(x)±g(x)] f^1(x)±g^1(x)
d/dx[f(x)g(x)] f^1(x)g(x)+f(x)g^1(x)
d/dx[f(x)/g(x)] (lodehi - hidelo)/lolo (lo^2)
d/dx[e^x] e^x
d/dx[ln(x)] 1/x
d/dx[sin(x)] cos(x)
d/dx[cos(x)] -sin(x)
d/dx[k f(x)] k f^1(x)
d/dx[tan(x)] sec^2(x)
d/dx[cot(x)] -csc^2(x)
d/dx[sec(x)] sec(x)tan(x)
d/dx[csc(x)] -csc(x)cot(x)
d/dx[loga(x)] 1/(xln(a))
loga(x) ln(x)/ln(a)
d/dx[arctan(x)] 1+x^2
d/dx[arcsin(x)] 1/(sqrt(1-x^2))
f^1(x) (f(x+h)-f(x))/h
Average Rate of Change (f(x2)-f(x1))/(x2-x1)
Relative Rate of Change f^1(x)/f(x)
Falling Body Formula -(1/2)gt^2 + v0t + s0
Created by: 1271314332