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13 Nov 2019

f(x,y)=x^4+y^4-4xy+2

Compute the first order partial derivative

Find the critical point

Second order partial derivative

Find teh value of the function at the local extrea

Find absolute maxima and Minimum

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Lelia Lubowitz
Lelia LubowitzLv2
26 Jul 2019

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Related questions

Find the local and absolute extrema of the function

f(x,y)=y3+3x2y-6x2-6y2+2 on [-3,3]x[-1,5]

Find the absolute and relative maxima and minima if they exist. Proceed as follow

Compute the first-order partial derivatives
Find the critical points
Compute the second-order partial derivatives
Use the second derivatives test to classify the critical points
Find the value of the function at the local extrema if they exist
Find the absolute maxima and minimum by evaluation f on the boundary of D

Consider the function f(x,y)= x^4+y^4-4 xy+2. on D = [-3,3]x[-3,3] a. Find the absolute and relative maxim a and minima if they exist. Proceed as follow b. Compute the first-order partial derivatives c. Find the critical points d. Compute the second-order partial derivatives e. Use the second derivatives test to classify the critical points f. Find the value of the function at the local extrema if they exist g. Find the absolute maxima and minimum by evaluation f on the boundary of D


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