What is the d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) ?

The d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) is {z}(6{y}-2{z})

What is the first d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) ?

The first d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) is {z}(6{y}-2{z})

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Popular >

\frac{d}{d y} ((z) (z^{2} - 2 z y + 3 y^{2}))

z (6 y - 2 z)

Solution steps

\frac{d}{d y} ((z) (z^{2} - 2 z y + 3 y^{2}))

Take the constant out:

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

= z \frac{d}{d y} (z^{2} - 2 z y + 3 y^{2})

Apply the Sum/Difference Rule:

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

= z (\frac{d}{d y} (z^{2}) - \frac{d}{d y} (2 z y) + \frac{d}{d y} (3 y^{2}))

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

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

\frac{d}{d y} (3 y^{2}) = 6 y

= z (0 - 2 z + 6 y)

Simplify

= z (6 y - 2 z)

(\frac{x + 1}{2})^{2}

x^{\frac{1}{2}} (x + 3)

(x - i y + 1)^{2}

- (x - 1) (x - 1 + 3) (x - 1 - 3)

\frac{2 ( π - 2 2 )}{3 π - 8}

What is the d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) ?
The d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) is {z}(6{y}-2{z})
What is the first d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) ?
The first d/(d{y)}(({z})({z}^2-2{z}{y}+3{y}^2)) is {z}(6{y}-2{z})