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

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

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

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

e^{4 y} sin (4 z)

Solution steps

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

Treat

y, z

as constants

Take the constant out:

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

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

Apply the common derivative:

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

= e^{4 y} sin (4 z) \cdot 1

Simplify

= e^{4 y} sin (4 z)

x \to 0 + lim (x - \frac{1}{x})

h \to 0 lim (\frac{e ^{ah} - 1}{h})

y^{^{'}} = 3 - cos (x)

\frac{d}{d x} (e^{(\frac{1}{x}) (l n (1 - 2 x))})

\int \frac{10}{4 x ^{3} - 4 x ^{2} + 5 x} d x

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