What is (\partial)/(\partial x)(y^3-ln(x)) ?

The answer to (\partial)/(\partial x)(y^3-ln(x)) is -1/x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(\partial)/(\partial x)(y^3-ln(x))

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

- \frac{1}{x}

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{\partial}{\partial x} (y^{3}) = 0

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

= 0 - \frac{1}{x}

Simplify

= - \frac{1}{x}

What is (\partial)/(\partial x)(y^3-ln(x)) ?
The answer to (\partial)/(\partial x)(y^3-ln(x)) is -1/x