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

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

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(\partial)/(\partial x)(xe^{2y})

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

e^{2 y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{2 y} \cdot 1

Simplify

= e^{2 y}

y^{^{''}} - 5 y^{^{'}} = 0

\frac{d}{d x} (\frac{sin ( 2 x )}{1 + cos ( 2 x )})

3 x^{2} - 14 x + 5

\frac{9}{x ^{2} + 2}

\int_{0}^{4} \frac{x}{x ^{2} + 9} d x

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