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

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

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

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

2

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial z} (x^{2}) = 0

\frac{\partial}{\partial z} (2 y) = 0

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

= 0 + 0 + 2

Simplify

= 2

\frac{d}{d x} (\frac{7}{x ^{4}})

x \to 0 lim (- 2 csc (2 x))

\frac{\partial}{\partial x} (- sin (x))

\frac{d}{d x} (\frac{1 - x}{2 x})

n = 1 \sum \infty (- 1)^{n} \frac{1}{n}

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