basic rules
da/dx
d/dx(sin u)
d/dx(ln u)
(1/u)du/dx
d/dx(sin^-1 u)
1/(sqrt(1-(u^2))) du/dx
d/dx(au)
a du/dx
d/dx(cos u)
(-sin u)du/dx
d/dx(e^u)
(e^u)du/dx
d/dx(cos^-1 u)
-1/(sqrt(1-(u^2))) du/dx
d/dx(x^n)
d/dx(tan u)
(sec^2 u)du/dx
d/dx(a^u)
(a^u)(ln a)du/dx
d/dx(tan^-1 u)
1/(1+u^2) du/dx
d/dx(uv)
(u)dv/dx + (v)du/dx
d/dx(cot u)
(f(g(x)))'
f'(g(x))*g'(x)
f'(u)*g'(x)
(dy/du)(du/dx)
d/dx(cot^-1 u)
-1/(1+u^2) du/dx
d/dx(u/v)
(v(du/dx)-u(dv/dx))/(v^2)
d/dx(sec u)
d/dx(csc u)
(sec u)(tan u)du/dx
(-csc u)(cot u)du/dx
if y=e^((sinx)+1), find dy/dx
dy/dx = cosx*e^((sinx)+1)
d/dx(csc^-1 u)
-1/|u|sqrt(u^2-1) du/dx