What is (\partial)/(\partial x)((z)(x+y)) ?

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

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(\partial)/(\partial x)((z)(x+y))

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

z

Solution steps

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

Treat

z, y

as constants

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial x} (y) = 0

= z (1 + 0)

Simplify

= z

\frac{( x ^{2} - 1 ) ^{3}}{4}

(2 z + 1)^{12}

\frac{- 15 s + 4}{( s ^{2} - 13 s + 26 ) s}

(2 x + y = 9,) (2 x - y = 11)

(x^{4} + 4 x^{3} + 8 x^{2}) \cdot (x - 3 + 5)

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