Question

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 your answers as a comma-separated list. If an answer does not exist, enter DNE.)

f(x, y) = x^{3}y + 36x^{2} − 8y

Step 1

Consider the given function,

Compute the derivative of given function,

Step 2

The derivative of the provided function are as follows,

Step 3

To find the critical points, solve *fx*(*x*,*y*) = 0 and *fy*(*x*,*y*...

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