Explain why the function is differentiable at the given point. f(x,y)=x3y2,(−2,2) The partial derivatives are fx​(x,y)=

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Explain Why The Function Is Differentiable At The Given Point F X Y X3y2 2 2 The Partial Derivatives Are Fx X Y 1 (63.41 KiB) Viewed 33 times

Explain why the function is differentiable at the given point. f(x,y)=x3y2,(−2,2) The partial derivatives are fx​(x,y)= and fy​(x,y)= , so fx​(−2,2)= and fy​(−2,2)= . Both fx​ and fy​ are continuous functions, so f is differentiable at (−2,2). Find the linearization L(x,y) of the function at (−2,2). L(x,y)=12n−8y+16