What is (d^2)/(dy^2)(xye^{(-x+3y)}) ?

The answer to (d^2)/(dy^2)(xye^{(-x+3y)}) is x(9e^{-x+3y}y+6e^{-x+3y})

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(d^2)/(dy^2)(xye^{(-x+3y)})

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

x (9 e^{- x + 3 y} y + 6 e^{- x + 3 y})

Solution steps

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

\frac{d}{d y} (x y e^{- x + 3 y}) = x (e^{- x + 3 y} + 3 e^{- x + 3 y} y)

= \frac{d}{d y} (x (e^{- x + 3 y} + 3 e^{- x + 3 y} y))

\frac{d}{d y} (x (e^{- x + 3 y} + 3 e^{- x + 3 y} y)) = x (9 e^{- x + 3 y} y + 6 e^{- x + 3 y})

= x (9 e^{- x + 3 y} y + 6 e^{- x + 3 y})

What is (d^2)/(dy^2)(xye^{(-x+3y)}) ?
The answer to (d^2)/(dy^2)(xye^{(-x+3y)}) is x(9e^{-x+3y}y+6e^{-x+3y})