FUNCTIONS OF VARIOUS VARIABLES

FUNCTIONS OF VARIOUS VARIABLES

1. a function of two variables is a correspondence rule that assigns each pair of real numbers (x, y) and a single real number z

   • function in two variables z = f (x, y) function in three variables WxF (x, y, z)
     • a partial derivative of a function of several variables, is its derivative with respect to one of these variables keeping the others as constants. the partial derivatives are useful in vectorial calculation and differential geometry
       • practical method
         • AF/AX=Fx= AxF
           • DERIVATIVE OF FIRST ORDER
             • DERIVATIVE OF SECOND ORDER
               • SECOND DERIVATIVE
                 • DERIVATIVES OF N ORDER