Differentiation

 

• differentiation algorithm is very simple

• for differentiation, the following rules are sufficient:

           (a + b)' = a' + b'
  
           (a - b)' = a' - b'
  
           (a b)' = a'b + a b'
  
           (a/b)' = (a'b - a b')/b^2
  
           f(g(t))' = f'(g(t)) g'(t)

  rules for differentiation of functions like (these can be implemented using a table look up)

• example