[Solution] Given the contour map with level curve function values decreasing from the inside to out as z=9, z " 8, z=7, z=6, z=5, and z=4 respectively, at
Question: Given the contour map with level curve function values decreasing from the inside to out as \(z=9, z\) " \(8, z=7, z=6, z=5\), and \(z=4\) respectively, at the point \((2,-1)\) give the signs of \(f_{x}, f_{y}, f_{x x}\) and \(f_{y y} .\) Also estimate \(D_{u} f(1.5,0)\) when \(u\) is in the same direction as the vector \(\left\langle -2,1 \right\rangle \).
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![[Solution] Find the critical points of f(x,](/images/solutions/MC-solution-library-65637.jpg "[Solution] Find the critical points of f(x, y)=x^2-4 x y+y^3+4")
[Solution] Find the critical points of f(x, y)=x^2-4 x y+y^3+4
(Steps Shown) Find all of the second partial derivatives of the
(All Steps) Find all of the second partial derivatives of the following
![[Solution] Find all of the second partial](/images/solutions/MC-solution-library-65640.jpg "[Solution] Find all of the second partial derivatives of the following")
[Solution] Find all of the second partial derivatives of the following
![[All Steps] Find all of the second](/images/solutions/MC-solution-library-65641.jpg "[All Steps] Find all of the second partial derivatives of the following")
[All Steps] Find all of the second partial derivatives of the following
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