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

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

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

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

e^{3 y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{3 y} \cdot 1

Simplify

= e^{3 y}

\frac{d}{d x} (2 x^{2} (x - 4 x^{3}))

n = 0 \sum \infty 2 (- \frac{2}{3})

\frac{d x}{d t} + t^{3} x^{5} + \frac{x}{t} = 0

\int x^{2} ln (x + 4) d x

\frac{d}{d x} (e^{3 x} cos (x) + e^{3 x} sin (x))

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