What is (\partial)/(\partial x)(e^yx) ?

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

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(\partial)/(\partial x)(e^yx)

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

e^{y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{y} \cdot 1

Simplify

= e^{y}

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