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

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

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(\partial)/(\partial x)((e)^{x+2y})

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

e^{x + 2 y}

Solution steps

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

Treat

y

as a constant

Apply the chain rule:

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

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

\frac{\partial}{\partial x} (x + 2 y) = 1

= e^{x + 2 y} \cdot 1

Simplify

= e^{x + 2 y}

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