What is (\partial)/(\partial y)(xe^{6y}) ?

The answer to (\partial)/(\partial y)(xe^{6y}) is xe^{6y}*6

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(\partial)/(\partial y)(xe^{6y})

\frac{\partial}{\partial y} (x e^{6 y})

x e^{6 y} \cdot 6

Solution steps

\frac{\partial}{\partial y} (x e^{6 y})

Treat

x

as a constant

Take the constant out:

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

= x \frac{\partial}{\partial y} (e^{6 y})

Apply the chain rule:

e^{6 y} \frac{\partial}{\partial y} (6 y)

= e^{6 y} \frac{\partial}{\partial y} (6 y)

\frac{\partial}{\partial y} (6 y) = 6

= x e^{6 y} \cdot 6

What is (\partial)/(\partial y)(xe^{6y}) ?
The answer to (\partial)/(\partial y)(xe^{6y}) is xe^{6y}*6