What is the critical f(x)=(x^2-5x)(y^2-6y) ?

The critical f(x)=(x^2-5x)(y^2-6y) is (0,6),(5,6),(0,0),(5,0),(5/2 ,3)

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critical f(x)=(x^2-5x)(y^2-6y)

critical points

f (x) = (x^{2} - 5 x) (y^{2} - 6 y)

(0, 6), (5, 6), (0, 0), (5, 0), (\frac{5}{2}, 3)

Solution steps

(x^{2} - 5 x) (y^{2} - 6 y)

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 6), (5, 6), (0, 0), (5, 0), (\frac{5}{2}, 3)

What is the critical f(x)=(x^2-5x)(y^2-6y) ?
The critical f(x)=(x^2-5x)(y^2-6y) is (0,6),(5,6),(0,0),(5,0),(5/2 ,3)