What is (\partial)/(\partial x)(xe^{4y}sin(3z)) ?

The answer to (\partial)/(\partial x)(xe^{4y}sin(3z)) is e^{4y}sin(3z)

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(\partial)/(\partial x)(xe^{4y}sin(3z))

\frac{\partial}{\partial x} (x e^{4 y} sin (3 z))

e^{4 y} sin (3 z)

Solution steps

\frac{\partial}{\partial x} (x e^{4 y} sin (3 z))

Treat

y, z

as constants

Take the constant out:

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

= e^{4 y} sin (3 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= e^{4 y} sin (3 z) \cdot 1

Simplify

= e^{4 y} sin (3 z)

\int \frac{2}{x ^{2} + 10 x + 29} d x

(1 + x^{2}) \frac{d y}{d x} - (1 + y^{2}) = 0

f (x) = x^{2} - x + 5, at x = 5

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

\frac{d}{d x} (2 e^{- x^{2}} x - 2 e^{- x^{2}} x^{3})

What is (\partial)/(\partial x)(xe^{4y}sin(3z)) ?
The answer to (\partial)/(\partial x)(xe^{4y}sin(3z)) is e^{4y}sin(3z)