Question

Asked Oct 9, 2019

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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) = 2x^{3} + xy^{2} + 5x^{2} + y^{2} + 5

Step 1

From the given information find the partial derivative:

Step 2

Now to find the critical points put f_{x} and f_{y} equal to zero:

Step 3

Now write the formula for D and the conditions fo...

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