What is (\partial)/(\partial x)(z^3ln(yx)) ?

The answer to (\partial)/(\partial x)(z^3ln(yx)) is (z^3)/x

Popular >

(\partial)/(\partial x)(z^3ln(yx))

\frac{\partial}{\partial x} (z^{3} ln (y x))

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

Solution steps

\frac{\partial}{\partial x} (z^{3} ln (y x))

Treat

z, y

as constants

Take the constant out:

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

= z^{3} \frac{\partial}{\partial x} (ln (y x))

Apply the chain rule:

\frac{1}{y x} \frac{\partial}{\partial x} (y x)

= \frac{1}{y x} \frac{\partial}{\partial x} (y x)

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

= z^{3} \frac{1}{y x} y

Simplify

z^{3} \frac{1}{y x} y : \frac{z ^{3}}{x}

= \frac{z ^{3}}{x}

2 \cdot ((t - 1)^{2}) \cdot 1 ((t - 1))

\frac{\partial}{\partial x} (\frac{7 x}{3 y})

f (x) = \frac{x}{2 x - 3}, (1, - 1)

\int \frac{e ^{- s t}}{s ^{2}} d t

y = \frac{100}{x ^{4}}

What is (\partial)/(\partial x)(z^3ln(yx)) ?
The answer to (\partial)/(\partial x)(z^3ln(yx)) is (z^3)/x