What is the derivative of sqrt(1-(x^2/4)) ?

The derivative of sqrt(1-(x^2/4)) is -x/(2sqrt(4-x^2))

What is the first derivative of sqrt(1-(x^2/4)) ?

The first derivative of sqrt(1-(x^2/4)) is -x/(2sqrt(4-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} (1 - \frac{x ^{2}}{4})

- \frac{x}{2 4 - x ^{2}}

Solution steps

\frac{d}{d x} (1 - \frac{x ^{2}}{4})

Apply the chain rule:

\frac{1}{2 1 - \frac{x ^{2}}{4}} \frac{d}{d x} (1 - \frac{x ^{2}}{4})

= \frac{1}{2 1 - \frac{x ^{2}}{4}} \frac{d}{d x} (1 - \frac{x ^{2}}{4})

\frac{d}{d x} (1 - \frac{x ^{2}}{4}) = - \frac{x}{2}

= \frac{1}{2 1 - \frac{x ^{2}}{4}} (- \frac{x}{2})

Simplify

\frac{1}{2 1 - \frac{x ^{2}}{4}} (- \frac{x}{2}) : - \frac{x}{2 4 - x ^{2}}

= - \frac{x}{2 4 - x ^{2}}

\frac{\partial}{\partial v} (v sin (u))

\int_{0}^{1} \frac{6}{x ( x + 1 )} d x

\int 4 x^{5} d x

- \frac{3}{( x - 3 ) ^{2}}

\int (7 sec (x) tan (x) + 5 sec^{2} (x)) d x

What is the derivative of sqrt(1-(x^2/4)) ?
The derivative of sqrt(1-(x^2/4)) is -x/(2sqrt(4-x^2))
What is the first derivative of sqrt(1-(x^2/4)) ?
The first derivative of sqrt(1-(x^2/4)) is -x/(2sqrt(4-x^2))