What is (\partial)/(\partial x)(xye^{4y}) ?

The answer to (\partial)/(\partial x)(xye^{4y}) is e^{4y}y

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(\partial)/(\partial x)(xye^{4y})

\frac{\partial}{\partial x} (x y e^{4 y})

e^{4 y} y

Solution steps

\frac{\partial}{\partial x} (x y e^{4 y})

Treat

y

as a constant

Take the constant out:

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

= y e^{4 y} \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= y e^{4 y} \cdot 1

Simplify

= e^{4 y} y

y = x^{2} + 6 x - 5, at x = 2

\int x^{9} e^{x^{10}} d x

\frac{2 d y}{d x} + 7 y = 1

\frac{1}{s - 3}

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

What is (\partial)/(\partial x)(xye^{4y}) ?
The answer to (\partial)/(\partial x)(xye^{4y}) is e^{4y}y