What is the critical f(x,y)=(x^2-x+1)*e^{x+ay^2} ?

The critical f(x,y)=(x^2-x+1)*e^{x+ay^2} is (0,0),(-1,0)

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critical f(x,y)=(x^2-x+1)*e^{x+ay^2}

critical points

f (x, y) = (x^{2} - x + 1) \cdot e^{x + a y^{2}}

(0, 0), (- 1, 0)

Solution steps

(x^{2} - x + 1) e^{x + a y^{2}}

Find where

\nabla f (x, y)

is equal to zero or undefined

(0, 0), (- 1, 0)

f (x) = x^{2} - 6 x + 4 ln (x)

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

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

f (x, y) = - 216 x + 2 x^{3} + 6 x y^{2} - 3 y^{3}

f (x) = - x^{4} + 8 x^{3}

What is the critical f(x,y)=(x^2-x+1)*e^{x+ay^2} ?
The critical f(x,y)=(x^2-x+1)*e^{x+ay^2} is (0,0),(-1,0)