What is (\partial}{\partial z}(\frac{x^2)/y-xz) ?

The answer to (\partial}{\partial z}(\frac{x^2)/y-xz) is -x

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(\partial}{\partial z}(\frac{x^2)/y-xz)

\frac{\partial}{\partial z} (\frac{x ^{2}}{y} - x z)

- x

Solution steps

\frac{\partial}{\partial z} (\frac{x ^{2}}{y} - x z)

Treat

x, y

as constants

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial z} (\frac{x ^{2}}{y}) - \frac{\partial}{\partial z} (x z)

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

\frac{\partial}{\partial z} (x z) = x

= 0 - x

Simplify

= - x

\int \frac{x}{4 + x ^{4}} d x

\frac{\partial}{\partial y} (\frac{7}{x ^{2} + y ^{2}})

\frac{( x ^{2} + 32 x )}{8}, at x = 4

(t + 2)^{\frac{2}{3}} (2 t^{2} - 3)^{3}

\frac{d}{d x} (f (x) \cdot \frac{1}{g ( x )})

What is (\partial}{\partial z}(\frac{x^2)/y-xz) ?
The answer to (\partial}{\partial z}(\frac{x^2)/y-xz) is -x