What is the derivative of-x/(sqrt(9-x^2)) ?

The derivative of-x/(sqrt(9-x^2)) is -9/((9-x^2)sqrt(9-x^2))

What is the first derivative of-x/(sqrt(9-x^2)) ?

The first derivative of-x/(sqrt(9-x^2)) is -9/((9-x^2)sqrt(9-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{x}{9 - x ^{2}})

- \frac{9}{( 9 - x ^{2} ) 9 - x ^{2}}

Solution steps

\frac{d}{d x} (- \frac{x}{9 - x ^{2}})

Take the constant out:

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

= - \frac{d}{d x} (\frac{x}{9 - x ^{2}})

Apply the Quotient Rule:

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

= - \frac{\frac{d x}{d x} 9 - x ^{2} - \frac{d}{d x} ( 9 - x ^{2} ) x}{( 9 - x ^{2} ) ^{2}}

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

\frac{d}{d x} (9 - x^{2}) = - \frac{x}{9 - x ^{2}}

= - \frac{1 \cdot 9 - x ^{2} - ( - \frac{x}{9 - x ^{2}} ) x}{( 9 - x ^{2} ) ^{2}}

Simplify

- \frac{1 \cdot 9 - x ^{2} - ( - \frac{x}{9 - x ^{2}} ) x}{( 9 - x ^{2} ) ^{2}} : - \frac{9}{( 9 - x ^{2} ) 9 - x ^{2}}

= - \frac{9}{( 9 - x ^{2} ) 9 - x ^{2}}

\int 11 d x

\int \frac{4 x}{2 x - 1} d x

\int sin (14 x) cos (11 x) d x

\int x^{1.1} + 7 x^{2.5} d x

\frac{\partial}{\partial x} (x^{2} + 2 \cdot y^{4})

What is the derivative of-x/(sqrt(9-x^2)) ?
The derivative of-x/(sqrt(9-x^2)) is -9/((9-x^2)sqrt(9-x^2))
What is the first derivative of-x/(sqrt(9-x^2)) ?
The first derivative of-x/(sqrt(9-x^2)) is -9/((9-x^2)sqrt(9-x^2))