What is (\partial)/(\partial y)(3ye^{3x}) ?

The answer to (\partial)/(\partial y)(3ye^{3x}) is 3e^{3x}

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(\partial)/(\partial y)(3ye^{3x})

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

3 e^{3 x}

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= 3 e^{3 x} \cdot 1

Simplify

= 3 e^{3 x}

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