What is the derivative of (1-0.6x/x) ?

The derivative of (1-0.6x/x) is -1/(x^2)

What is the first derivative of (1-0.6x/x) ?

The first derivative of (1-0.6x/x) is -1/(x^2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (\frac{1 - 0.6 x}{x})

- \frac{1}{x ^{2}}

Solution steps

\frac{d}{d x} (\frac{1 - 0.6 x}{x})

Apply the Quotient Rule:

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

= \frac{\frac{d}{d x} ( 1 - 0.6 x ) x - \frac{d x}{d x} ( 1 - 0.6 x )}{x ^{2}}

\frac{d}{d x} (1 - 0.6 x) = - 0.6

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

= \frac{( - 0.6 ) x - 1 \cdot ( 1 - 0.6 x )}{x ^{2}}

Simplify

\frac{( - 0.6 ) x - 1 \cdot ( 1 - 0.6 x )}{x ^{2}} : - \frac{1}{x ^{2}}

= - \frac{1}{x ^{2}}

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

\frac{d}{d x} (3 x + 6)

y^{^{'}} - 3 y = 6

f (x) = cos (sin (x^{2}))

\int (x + 1)^{- 3} d x

What is the derivative of (1-0.6x/x) ?
The derivative of (1-0.6x/x) is -1/(x^2)
What is the first derivative of (1-0.6x/x) ?
The first derivative of (1-0.6x/x) is -1/(x^2)