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

The answer to (\partial)/(\partial x)(e^xy) is ye^x

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

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

y e^{x}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= y e^{x}

\int_{0}^{8} (1 + 3 x) d x

\int e^{\frac{3}{x}} d x

\frac{s - 6}{3 s ^{2} + s + 12}

\int e^{\frac{x}{2} + 3} d x

\int \frac{2 y - 1}{y} d y

What is (\partial)/(\partial x)(e^xy) ?
The answer to (\partial)/(\partial x)(e^xy) is ye^x