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

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

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

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

e^{4 y}

Solution steps

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

Treat

y

as a constant

Take the constant out:

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

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

Apply the common derivative:

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

= e^{4 y} \cdot 1

Simplify

= e^{4 y}

\frac{\partial}{\partial y} (3 x sin (y - z))

\frac{\partial}{\partial x} (x y + 3 x - 2 y)

\int \frac{3 x ^{2}}{9424} d x

\frac{d}{d x} (\frac{9}{x + 8})

f (x) = 2 x^{3} + 7 x, at x = 1

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