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

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

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

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

2 e^{- x}

Solution steps

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

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the common derivative:

\frac{\partial}{\partial y} (y) = 1

= 2 e^{- x} \cdot 1

Simplify

= 2 e^{- x}

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