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

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

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

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

\frac{2 x}{y} - z

Solution steps

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

Treat

y, z

as constants

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{\partial}{\partial y} (2 ln (3 x) - 4 ln (2 x y))

\frac{3}{x ^{3}}

\int 15 x^{4} d x

\frac{3}{s ^{2} - 4}

\frac{d}{d x} (x^{3 l n (x)})

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