What is the derivative of sqrt(7-2x^2) ?

The derivative of sqrt(7-2x^2) is -(2x)/(sqrt(7-2x^2))

What is the first derivative of sqrt(7-2x^2) ?

The first derivative of sqrt(7-2x^2) is -(2x)/(sqrt(7-2x^2))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

\frac{d}{d x} (7 - 2 x^{2})

- \frac{2 x}{7 - 2 x ^{2}}

Solution steps

\frac{d}{d x} (7 - 2 x^{2})

Apply the chain rule:

\frac{1}{2 7 - 2 x ^{2}} \frac{d}{d x} (7 - 2 x^{2})

= \frac{1}{2 7 - 2 x ^{2}} \frac{d}{d x} (7 - 2 x^{2})

\frac{d}{d x} (7 - 2 x^{2}) = - 4 x

= \frac{1}{2 7 - 2 x ^{2}} (- 4 x)

Simplify

\frac{1}{2 7 - 2 x ^{2}} (- 4 x) : - \frac{2 x}{7 - 2 x ^{2}}

= - \frac{2 x}{7 - 2 x ^{2}}

What is the derivative of sqrt(7-2x^2) ?
The derivative of sqrt(7-2x^2) is -(2x)/(sqrt(7-2x^2))
What is the first derivative of sqrt(7-2x^2) ?
The first derivative of sqrt(7-2x^2) is -(2x)/(sqrt(7-2x^2))