What is the Technique for Solving Partial Differentiation in Calculus 2?

[Isma]

i ve never read partial DE...nd i don't kno how to do this question i got in homework...pleasez help
(x^2+y^2+z^2)^-1/2=V
prove dv^2/dx^2 + dv^2/dy^2 + dv^2/dz^2 = 0
(i wrote "d" for partial differential)
i know its a basic question but i can't understand the technique

 

[HallsofIvy]

What course is this for?
It doesn't matter that you have "never read partial DE"- this problem has nothing to do with differential equations. It has to do with taking the derivative. If you mean you have not done partial derivatives, the derivative of V with respect to x is just the ordinary derivative, treating y and z as constants. Similarly, the derivative of V with respect to y is just the ordinary derivative, treating x and z as constants; the derivative of V with respect to z is just the ordinary derivative, treating x and y as constants.

Find the second derivative of V with respect to each variable, and add them!

 

[Isma]

thx...that was easy
it is for Calculus 2 course