Page 1 of 1
Explain why the function is differentiable at the given point. f(x,y)=x3y2,(−2,2) The partial derivatives are fx(x,y)=
Posted: Thu Jul 14, 2022 4:09 pm
by answerhappygod
- 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 32 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