en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of x/((m+nx))

Solution

\frac{d}{d x} (\frac{x}{( m + n x )})

Solution

\frac{m}{( m + n x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{x}{( m + n x )})

Apply the Quotient Rule:

(\frac{f}{g})^{'} = \frac{f ^{'} \cdot g - g ^{'} \cdot f}{g ^{2}}

= \frac{\frac{d x}{d x} ( m + n x ) - \frac{d}{d x} ( m + n x ) x}{( m + n x ) ^{2}}

\frac{d x}{d x} = 1

\frac{d}{d x} (m + n x) = n

= \frac{1 \cdot ( m + n x ) - n x}{( m + n x ) ^{2}}

Simplify

= \frac{m}{( m + n x ) ^{2}}

Graph

Popular Examples

(\partial)/(\partial x)(x^2+2xy+2y^2-6x+10y+2)

\frac{\partial}{\partial x} (x^{2} + 2 x y + 2 y^{2} - 6 x + 10 y + 2)

derivative of ln(x^2sqrt(1-x^2))

\frac{d}{d x} (ln (x^{2} 1 - x^{2}))

derivative of ((x^2+1))/((x-1)^2)derivative of

\frac{( x ^{2} + 1 )}{( x - 1 ) ^{2}}

(\partial)/(\partial x)(yx^3-xy^2+xy+13y)

\frac{\partial}{\partial x} (y x^{3} - x y^{2} + x y + 13 y)

integral of x/(x^2+y^2)

\int \frac{x}{x ^{2} + y ^{2}} d y

Frequently Asked Questions (FAQ)

What is the derivative of x/((m+nx)) ?
The derivative of x/((m+nx)) is m/((m+nx)^2)
What is the first derivative of x/((m+nx)) ?
The first derivative of x/((m+nx)) is m/((m+nx)^2)