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

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

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

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

2 x

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

\frac{\partial}{\partial z} (2 z) = 2

= x (0 + 2)

Simplify

= 2 x

\frac{n !}{( n ( n - 1 ) ) !}

(x + 3 y - 2 z)^{5}

\frac{e ^{- 2 s}}{( s ^{2} + 1 ) ( s ^{2} + 9 )}

\frac{s ^{2} + s + 16}{( s ^{2} + 16 ) ^{2}}

e^{x^{6} e^{x}} \cdot (x - 4 y = x^{6} e^{x})

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