What is (\partial)/(\partial x)(7+xln(xy-5)) ?

The answer to (\partial)/(\partial x)(7+xln(xy-5)) is (xy)/(xy-5)+ln(xy-5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(\partial)/(\partial x)(7+xln(xy-5))

\frac{\partial}{\partial x} (7 + x ln (x y - 5))

\frac{x y}{x y - 5} + ln (x y - 5)

Solution steps

\frac{\partial}{\partial x} (7 + x ln (x y - 5))

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (7) + \frac{\partial}{\partial x} (x ln (x y - 5))

\frac{\partial}{\partial x} (7) = 0

\frac{\partial}{\partial x} (x ln (x y - 5)) = ln (y x - 5) + \frac{y x}{y x - 5}

= 0 + ln (y x - 5) + \frac{y x}{y x - 5}

Simplify

= \frac{x y}{x y - 5} + ln (x y - 5)

\frac{d}{d y} (2 y)

\int_{0}^{x} y lo g_{10} (y) d y

n = 3 \sum \infty \frac{4 ^{n}}{7 ^{n}}

\frac{d y}{d x} = 4 x^{3} y^{2}

\int x^{4} y^{3} d y

What is (\partial)/(\partial x)(7+xln(xy-5)) ?
The answer to (\partial)/(\partial x)(7+xln(xy-5)) is (xy)/(xy-5)+ln(xy-5)