What is the critical f(x)=30x^2y-45x^2+4y^3-30y^2+7 ?

The critical f(x)=30x^2y-45x^2+4y^3-30y^2+7 is (0,5),(0,0),(sqrt(21/10), 3/2),(-sqrt(21/10), 3/2)

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critical f(x)=30x^2y-45x^2+4y^3-30y^2+7

critical points

f (x) = 30 x^{2} y - 45 x^{2} + 4 y^{3} - 30 y^{2} + 7

(0, 5), (0, 0), (\frac{21}{10}, \frac{3}{2}), (- \frac{21}{10}, \frac{3}{2})

Solution steps

30 x^{2} y - 45 x^{2} + 4 y^{3} - 30 y^{2} + 7

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 5), (0, 0), (\frac{21}{10}, \frac{3}{2}), (- \frac{21}{10}, \frac{3}{2})

f (x) = e^{x} (2 x^{3} + 3 x^{2})

y = \frac{x ^{2}}{x + 1}

f (x) = x^{3} - 9 x^{2} + 24 x + 5

y = I n (x - 1) + e^{x^{2} - 3} + (x^{2} - 4)^{\frac{5}{3}}

f (x) = \frac{2 ( x - 2 ) ^{2}}{e ^{x - 2}} + 1

What is the critical f(x)=30x^2y-45x^2+4y^3-30y^2+7 ?
The critical f(x)=30x^2y-45x^2+4y^3-30y^2+7 is (0,5),(0,0),(sqrt(21/10), 3/2),(-sqrt(21/10), 3/2)