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Question Number 130884 by LYKA last updated on 30/Jan/21

let f(x.y)=[x^2 +xy,x^2 −y^2 ]     prove from defination of   derivative that :  Df_((x,y)) (1,2)=[4x+y,−2x+4y]

$${let}\:{f}\left({x}.{y}\right)=\left[{x}^{\mathrm{2}} +{xy},{x}^{\mathrm{2}} −{y}^{\mathrm{2}} \right]\: \\ $$$$ \\ $$$${prove}\:{from}\:{defination}\:{of}\: \\ $$$${derivative}\:{that}\:: \\ $$$${Df}_{\left({x},{y}\right)} \left(\mathrm{1},\mathrm{2}\right)=\left[\mathrm{4}\boldsymbol{{x}}+\boldsymbol{{y}},−\mathrm{2}{x}+\mathrm{4}{y}\right] \\ $$$$ \\ $$

Commented by LYKA last updated on 30/Jan/21

okay sir

$${okay}\:{sir} \\ $$

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