Find the points of discontinurity of the following funchers- foc,y) = (x-y)? a) 1 Let / RR be a function given by f(1.
Posted: Mon May 09, 2022 11:11 am
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Let / RR be a function given by f(1.y) = mye if (x,y) + (0,0) 0 if (y) = (0,0). Using definitions of partial derivatives, show whether f(x,y) is differentiable at point (0,0).
Let DCRP be a disk containing the origin and assume that g: D + R is a function given by 9(1,y) = e" (cosy + r siny). Prove that g(x,y) satisfies the Clairaut Theorem at point (0,0).
Suppose thаt F(x, y, z) = 0 defines 2 as a function of r and y and Fis differentiable. Prove that д ду (а) ду дх ду : дх (b) д: Әх ду b = (c) д: ду ОЕ ду ЭЕ 11