What is (\partial)/(\partial x)(xe^{2y}sin(6z)) ?

The answer to (\partial)/(\partial x)(xe^{2y}sin(6z)) is e^{2y}sin(6z)

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(\partial)/(\partial x)(xe^{2y}sin(6z))

\frac{\partial}{\partial x} (x e^{2 y} sin (6 z))

e^{2 y} sin (6 z)

Solution steps

\frac{\partial}{\partial x} (x e^{2 y} sin (6 z))

Treat

y, z

as constants

Take the constant out:

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

= e^{2 y} sin (6 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{2 y} sin (6 z) \cdot 1

Simplify

= e^{2 y} sin (6 z)

What is (\partial)/(\partial x)(xe^{2y}sin(6z)) ?
The answer to (\partial)/(\partial x)(xe^{2y}sin(6z)) is e^{2y}sin(6z)