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(Solved): Let f be a function defined as follows: f(x,y)={((9x^(3)y)/(10x^(2)+11y^(2)),;(x,y)!=(0,0)),(0,;(x,y ...
Let f be a function defined as follows:
f(x,y)={((9x^(3)y)/(10x^(2)+11y^(2)),;(x,y)!=(0,0)),(0,;(x,y)=(0,0)):}
i. Find ((delf)/(delx))_((0,0)).
ii. Find ((delf)/(delx)) for (x,y)!=(0,0).
iii. Find ((del^(2)f)/(delydelx))_((0,0)).
iv. Find ((delf)/(dely))_((0,0)).
v. Find ((delf)/(dely))_((0,0)) for (x,y)!=(0,0).
vi. Find ((del^(2)f)/(delxdely))_((0,0)).
vii. State the relationship between ((del^(2)f)/(delxdely))_((0,0)) and ((del^(2)f)/(delydelx))_((0,0)).