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

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

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

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

2 y

Solution steps

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

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

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

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

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

= 0 + 2 y

Simplify

= 2 y

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

\frac{12}{( 3 s - 5 )}

\int \frac{1}{n ^{3}}

(- 5, - 8), (5, 2)

x \to \infty lim (3 + \frac{4}{x})

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