I have to find an equation for a plane normal to

when

Is the equation in the form:

would i take the derivative of x, y, and z?

Would this require the product rule for x, and y individually? not z of course!

here is my attempt at just the product rule of x alone:

would it then be?

I guess my 2 questions are. is my generic form correct of the equation for a plane normal to the vector correct above?

and when i take the derivative do i use the product rule and did i do it correctly?

I am not sure how to get <a,b,c> and the point <x,y,z> either.

I am completely lost

Thank you