Added by Mitch Davis on November 01, 2001 at 01:55:45:
Given general functions U and V, variable X, and constant k and n
lim [f(x+h) - f(x)] / h
f(X) = g(x) + h(x) + ...
dX[f(x)] = dx[g(x)] + dX[h(x)] + .....
with any given function, the derivative can be found be deriving its component functions (this rule is best used for polynomials)
dX[k] = 0
the derivative of any constant is 0
dX[kX^n] = knX^(n-1)
basically, drop the power, mulitply by the constant, and reduce the power by 1
dX[U*V] = dX[U]*V + U*dX[V]
dX[U/V] = (dX[U]*V - U*dX[V])/(dX[V])^2
ln(U) = dX[U] * (1/U)
dX[sin(U)] = dX[U]cos(U)
dX[cos(U)] = -dX[U]sin(U)
these are the basic derivative rules which are used most, there are many more that can be found in calculus textbooks... if you have any questions or want to know if some rule for something exists, i will be pleased to respond to any emails