What is (\partial)/(\partial x)(xe^{2y}sin(5z)) ?

The answer to (\partial)/(\partial x)(xe^{2y}sin(5z)) is e^{2y}sin(5z)

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(\partial)/(\partial x)(xe^{2y}sin(5z))

\frac{\partial}{\partial x} (x e^{2 y} sin (5 z))

e^{2 y} sin (5 z)

Solution steps

\frac{\partial}{\partial x} (x e^{2 y} sin (5 z))

Treat

y, z

as constants

Take the constant out:

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

= e^{2 y} sin (5 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{2 y} sin (5 z) \cdot 1

Simplify

= e^{2 y} sin (5 z)

\frac{d}{d x} (\frac{1}{2} x + \frac{2}{3} x^{2})

\frac{\partial}{\partial x} (x sin (y) cos (z))

y = cos (sin (x^{2}))

x \to 0 + lim (ln (x) \cdot 0)

\int \frac{x}{x - 8} d x

What is (\partial)/(\partial x)(xe^{2y}sin(5z)) ?
The answer to (\partial)/(\partial x)(xe^{2y}sin(5z)) is e^{2y}sin(5z)