{█(3xy/(x^2+y^2 ),&if (x,y)≠(0,0)
0 ,&if (x,y)=(0,0))
a.) determine whether fx(0,0) and fy (0,0) exist.
b.) determine whether fx and fy are continuous @ (0,0)
c.) is f differentiable at 90,0)? explain.
d.) what do parts a.) and b.) say about differentiability of a function and continuity of its first partials!

Question

{█(3xy/(x^2+y^2 ),&if (x,y)≠(0,0)
0           ,&if (x,y)=(0,0))
a.) determine whether fx(0,0) and fy (0,0) exist.
b.) determine whether fx and fy are continuous @ (0,0)
c.) is f differentiable at 90,0)? explain.
d.) what do parts a.) and b.) say about differentiability of a function and continuity of its first partials!

turingtest · Answer

This is where copy-paste fails...
could you please try to type the problem more legibly?

anonymous · Answer

i know right?!?! sure! hold on!

anonymous · Answer

$$\left\{ 3xy \div x^2+y^2 , if (x,y)\neq(o,o)\right\} \left\{ 0, if (x,y) = (0,0) \right\}$$

anonymous · Answer

the second one is on the bottom part of the first bracket, if you know what i mean!

turingtest · Answer

yeah I gotchya
did you try to find $f_x$ and $f_y$ yet?

anonymous · Answer

i'm stuck on where to start!