What is (\partial ^2)/(\partial y\partial x)(xye^{-6y}) ?

The answer to (\partial ^2)/(\partial y\partial x)(xye^{-6y}) is e^{-6y}-6e^{-6y}y

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(\partial ^2)/(\partial y\partial x)(xye^{-6y})

\frac{\partial ^{2}}{\partial y \partial x} (x y e^{- 6 y})

e^{- 6 y} - 6 e^{- 6 y} y

Solution steps

\frac{\partial ^{2}}{\partial y \partial x} (x y e^{- 6 y})

\frac{\partial}{\partial y} (x y e^{- 6 y}) = x (e^{- 6 y} - 6 e^{- 6 y} y)

= \frac{\partial}{\partial x} (x (e^{- 6 y} - 6 e^{- 6 y} y))

\frac{\partial}{\partial x} (x (e^{- 6 y} - 6 e^{- 6 y} y)) = e^{- 6 y} - 6 e^{- 6 y} y

= e^{- 6 y} - 6 e^{- 6 y} y

y^{^{'}} - y = 7

\frac{\partial}{\partial u} (sin (u))

f (x) = \frac{c ^{5} - x ^{5}}{c ^{5} + c ^{5}}, c

3 + 5 sin (s)

\frac{d}{d x} (\frac{x ^{2}}{7 + 8 x})

What is (\partial ^2)/(\partial y\partial x)(xye^{-6y}) ?
The answer to (\partial ^2)/(\partial y\partial x)(xye^{-6y}) is e^{-6y}-6e^{-6y}y