What is (\partial)/(\partial y)(3x^4e^y) ?

The answer to (\partial)/(\partial y)(3x^4e^y) is 3x^4e^y

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(\partial)/(\partial y)(3x^4e^y)

\frac{\partial}{\partial y} (3 x^{4} e^{y})

3 x^{4} e^{y}

Solution steps

\frac{\partial}{\partial y} (3 x^{4} e^{y})

Treat

x

as a constant

Take the constant out:

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

= 3 x^{4} \frac{\partial}{\partial y} (e^{y})

Apply the common derivative:

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

= 3 x^{4} e^{y}

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What is (\partial)/(\partial y)(3x^4e^y) ?
The answer to (\partial)/(\partial y)(3x^4e^y) is 3x^4e^y