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

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

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

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

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

x + z

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d y} (x y) = x

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

\frac{d}{d y} (x z) = 0

= x + z + 0

Simplify

= x + z

y^{^{'}} = 3 e^{x - y}

f (x) = tan (4 x)

\frac{d y}{d t} = 3 + 5 y

8^{2 s - 1}

y = - x^{2} + 4, y = 3 x^{2}

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