#Multivariable Calc Help Needed
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mystic shale
I need to determine whether z is differentiable at (-2,0)
but when I calculate Z_x(-2,0) i'm getting that the limit DNE
not too sure tho....
ocean bramble
what do you get for
$\frac{\partial z}{\partial x}$
viscid starBOT
Dragon_42
mystic shale
what do you get for
$\frac{\partial z}{\partial x}$
I have found my partial derivatives
and at the point (-2,0) I get a value for as well
Now if i show that Z_x and Z_y are continuous at (-2,0) then z is differentiable at (-2,0) ....
but to show that Z_x and Z_y are continuous... do I take the limit of (x,y) -> (-2,0) of z_x and z_y ?
ocean bramble
you take the limit of (x,y) -> (-2,0) of z
mystic shale
Why the entire thing?
ocean bramble
Cause you want to know if z(x,y) is differentiable at that point so you should check to see if the limit exist at that point
mystic shale
How do we check if a partial derivative is continuous at a point?
mystic shale
+close