1. (a) Suppose f(x, y) = g(r) where r = x + y2 and assume that...

   

Transcribed Image Text:

1. (a) Suppose f(x, y) = g(r) where r = √√x² + y2 and assume that all their partial derivatives are continuous. (i) Let r = xi+yj, show that, for (x, y) = (0,0), dg r dr r Vf: = 1. (a) Suppose f(x, y) = g(r) where r = √√x² + y2 and assume that all their partial derivatives are continuous. (i) Let r = xi+yj, show that, for (x, y) = (0,0), dg r dr r Vf: =

Answer rating: 100% (QA)

For xy00 we have fxy dgrdr rxy dg... View the full answer