What is (\partial)/(\partial x)(xz+xyz) ?

The answer to (\partial)/(\partial x)(xz+xyz) is z+zy

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(\partial)/(\partial x)(xz+xyz)

\frac{\partial}{\partial x} (x z + x yz)

z + zy

Solution steps

\frac{\partial}{\partial x} (x z + x yz)

Treat

z, y

as constants

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{\partial}{\partial x} (x z) + \frac{\partial}{\partial x} (x yz)

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

\frac{\partial}{\partial x} (x yz) = zy

= z + zy

(x^{2} + \frac{1}{5}) 1 + 5 x^{2}

\int 5 x + 7 d x

f (x) = 5 x + 1

\int sec^{4} (3 x) tan^{3} (3 x) d x

\frac{d}{d x} (2 e^{x} + 3 x^{2} + x^{\frac{3}{2}} + 5)

What is (\partial)/(\partial x)(xz+xyz) ?
The answer to (\partial)/(\partial x)(xz+xyz) is z+zy