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

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

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

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

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Popular >

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

- \frac{y}{z ^{2}}

Solution steps

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

Take the constant out:

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

= y \frac{d}{d z} (\frac{1}{z})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= y \frac{d}{d z} (z^{- 1})

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= y (- 1 \cdot z^{- 1 - 1})

Simplify

y (- 1 \cdot z^{- 1 - 1}) : - \frac{y}{z ^{2}}

= - \frac{y}{z ^{2}}

\frac{d}{d x} ((\frac{x + 1}{x - 1})^{3})

\int y 4 + 4 y - 4 y^{2} d y

\frac{\partial}{\partial x} (y^{8} + 4 x^{3} y^{3})

[x^{2} (x^{2} + 6 x)]^{6}

\int \frac{( x ^{2} - x + 12 )}{x ^{3} + 3 x} d x

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