What is (\partial)/(\partial x)(xe^{6y}sin(5z)) ?

The answer to (\partial)/(\partial x)(xe^{6y}sin(5z)) is e^{6y}sin(5z)

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(\partial)/(\partial x)(xe^{6y}sin(5z))

\frac{\partial}{\partial x} (x e^{6 y} sin (5 z))

e^{6 y} sin (5 z)

Solution steps

\frac{\partial}{\partial x} (x e^{6 y} sin (5 z))

Treat

y, z

as constants

Take the constant out:

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

= e^{6 y} sin (5 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{6 y} sin (5 z) \cdot 1

Simplify

= e^{6 y} sin (5 z)

in v erse l a pl a ce \frac{- s - 2}{s ^{2} + s + 16}

in v erse l a pl a ce e^{- 2 s} \cdot \frac{1}{s}

\int \frac{x ^{10} + 1 0 ^{x}}{10} d x

\frac{d}{d x} (\frac{5 x}{x ^{2} + 7})

x \to 0 lim (\frac{x}{2 x})

What is (\partial)/(\partial x)(xe^{6y}sin(5z)) ?
The answer to (\partial)/(\partial x)(xe^{6y}sin(5z)) is e^{6y}sin(5z)