What is the critical f(x,y)=3xe^y-x^3-e^{3y} ?

The critical f(x,y)=3xe^y-x^3-e^{3y} is (1,0)

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critical f(x,y)=3xe^y-x^3-e^{3y}

critical points

f (x, y) = 3 x e^{y} - x^{3} - e^{3 y}

(1, 0)

Solution steps

3 x e^{y} - x^{3} - e^{3 y}

Find where

\nabla f (x, y)

is equal to zero or undefined

(1, 0)

f (x) = x^{5} - 5 x^{3} - 20 x - 2

x^{\frac{1}{3}} (x - 4)

f (x) = 3 x^{2} + 6 x

(x^{2} - 3 x + 5) e^{- \frac{x}{3}}

f (x, y) = 2 x^{2} + y^{2} + 3 x y - 3 y - 5 x + 8

What is the critical f(x,y)=3xe^y-x^3-e^{3y} ?
The critical f(x,y)=3xe^y-x^3-e^{3y} is (1,0)