What is the d/(d{z)}({x}^2+2{y}{z}) ?

The d/(d{z)}({x}^2+2{y}{z}) is 2{y}

What is the first d/(d{z)}({x}^2+2{y}{z}) ?

The first d/(d{z)}({x}^2+2{y}{z}) is 2{y}

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

2 y

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d z} (2 y z) = 2 y

= 0 + 2 y

Simplify

= 2 y

What is the d/(d{z)}({x}^2+2{y}{z}) ?
The d/(d{z)}({x}^2+2{y}{z}) is 2{y}
What is the first d/(d{z)}({x}^2+2{y}{z}) ?
The first d/(d{z)}({x}^2+2{y}{z}) is 2{y}