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

The d/(d{x)}(({z}(x,y))({x}^2+{y}^2+{x}{y})) is {z}(x,y)(2{x}+0+{y})

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

The first d/(d{x)}(({z}(x,y))({x}^2+{y}^2+{x}{y})) is {z}(x,y)(2{x}+0+{y})

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Popular >

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

z (x, y) (2 x + 0 + y)

Solution steps

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

Take the constant out:

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

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= z (x, y) (2 x + 0 + y)

y (6 - 3 y - x)^{2}

(x^{2} - \frac{2 - 3}{6})^{2}

x (x^{5} e^{13 x} + 3)

tan (x) (tan (x) - 1)

(1 - sin (x)) (1 + sin (x))

What is the d/(d{x)}(({z}(x,y))({x}^2+{y}^2+{x}{y})) ?
The d/(d{x)}(({z}(x,y))({x}^2+{y}^2+{x}{y})) is {z}(x,y)(2{x}+0+{y})
What is the first d/(d{x)}(({z}(x,y))({x}^2+{y}^2+{x}{y})) ?
The first d/(d{x)}(({z}(x,y))({x}^2+{y}^2+{x}{y})) is {z}(x,y)(2{x}+0+{y})