What is (\partial)/(\partial x)(xe^{3y}sin(5z)) ?

The answer to (\partial)/(\partial x)(xe^{3y}sin(5z)) is e^{3y}sin(5z)

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(\partial)/(\partial x)(xe^{3y}sin(5z))

\frac{\partial}{\partial x} (x e^{3 y} sin (5 z))

e^{3 y} sin (5 z)

Solution steps

\frac{\partial}{\partial x} (x e^{3 y} sin (5 z))

Treat

y, z

as constants

Take the constant out:

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

= e^{3 y} sin (5 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{3 y} sin (5 z) \cdot 1

Simplify

= e^{3 y} sin (5 z)

n = 1 \sum \infty (\frac{5}{6})^{n}

y = e^{k t a n (7 x)}

\frac{d}{d x} (\frac{x - 2}{x + 1})

y^{\frac{2}{3}}

\int \frac{e ^{x}}{64 - e ^{2 x}} d x

What is (\partial)/(\partial x)(xe^{3y}sin(5z)) ?
The answer to (\partial)/(\partial x)(xe^{3y}sin(5z)) is e^{3y}sin(5z)