What is (\partial)/(\partial y)(2e^yx) ?

The answer to (\partial)/(\partial y)(2e^yx) is 2xe^y

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(\partial)/(\partial y)(2e^yx)

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

2 x e^{y}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

\frac{\partial}{\partial y} (e^{y}) = e^{y}

= 2 x e^{y}

What is (\partial)/(\partial y)(2e^yx) ?
The answer to (\partial)/(\partial y)(2e^yx) is 2xe^y