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

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

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

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

y^{2} e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y^{2} e^{x}

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\frac{d}{d x} (\frac{3 + x y}{x})

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