Question
In: Math
Find the local maximum and minimum values and saddle point(s) of the function. If you have...
Find the local maximum and minimum values and saddle point(s) of the function. If you have three dimensional graphing software, graph the function with a domain and viewpoint that reveal all the important aspects of the function. (Enter NONE in any unused answer blanks.) f(x, y) = x^3 – 27xy + 27y^3
Solutions
Expert Solution
Solution:-
Differentiantin with respect to 'x'
Differentiantin with respect to 'y'
Now
----------------------------------(2)
solving (1) & (2),
The point are 
<0
The local maxima at this point (0,0)
(3,1)
Local minima at (3,1)
The saddle point is at
The point is shown in the figure
milcah answered 2 years agoRelated Solutions
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saddle point(s)
(x, y, f) =
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