What is (\partial)/(\partial x)((xy)(ey+2z)) ?

The answer to (\partial)/(\partial x)((xy)(ey+2z)) is y(ey+2z)

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(\partial)/(\partial x)((xy)(ey+2z))

\frac{\partial}{\partial x} ((x y) (ey + 2 z))

y (ey + 2 z)

Solution steps

\frac{\partial}{\partial x} ((x y) (ey + 2 z))

Treat

y, z

as constants

Take the constant out:

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

= y (ey + 2 z) \frac{\partial}{\partial x} (x)

Apply the common derivative:

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

= y (ey + 2 z) \cdot 1

Simplify

= y (ey + 2 z)

(3 x + y) d x + 2 x d y

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

sin (k (x + a))

\frac{- 3 s ^{2} + 20 s - 24}{( s ^{2} - 3 s + 2 ) ( s - 2 )}

1^{i}

What is (\partial)/(\partial x)((xy)(ey+2z)) ?
The answer to (\partial)/(\partial x)((xy)(ey+2z)) is y(ey+2z)