6. Find the gradient of f and the gradient at the point p f(x,y,z)=y2exyz,P(0,1,−1),u=⟨133​,134​,132​> 7. Find and class

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6 Find The Gradient Of F And The Gradient At The Point P F X Y Z Y2exyz P 0 1 1 U 133 134 132 7 Find And Class 1 (23.88 KiB) Viewed 32 times

6. Find the gradient of f and the gradient at the point p f(x,y,z)=y2exyz,P(0,1,−1),u=⟨133​,134​,132​> 7. Find and classify the critical points of the function f(x,y)=10x2y−5x2−x4−2y4. Also, find the height point on the graph of f. 8. Find the shortest distance from the point (2,0,−3) to the plane x+y+z=1. 9. Use Lagrange multipliers method to find the extreme values of the function subject to the given constraint f(x,y)=xy,4x2+y2=8.