The function ๐(๐ฅ,๐ฆ)=๐ฅ3โ3๐ฅโ2๐ฅ๐ฆโ๐ฆ2โ2๐ฆ+4 has two critical points. Find and classify them
Question
Solution 1
To find the critical points of the function, we first need to find the partial derivatives of the function with respect to x and y.
The partial derivative of f with respect to x is:
f_x = 3x^2 - 3 - 2y
And the partial derivative of f with respect to y is:
f_y = -2x - 2y - 2
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Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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The function ๐(๐ฅ,๐ฆ)=๐ฅ3โ3๐ฅโ2๐ฅ๐ฆโ๐ฆ2โ2๐ฆ+4 has two critical points. Find and classify them
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