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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

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

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