What is the derivative of ln(12-9x^2+2x^4) ?

The derivative of ln(12-9x^2+2x^4) is (8x^3-18x)/(12-9x^2+2x^4)

What is the first derivative of ln(12-9x^2+2x^4) ?

The first derivative of ln(12-9x^2+2x^4) is (8x^3-18x)/(12-9x^2+2x^4)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} (ln (12 - 9 x^{2} + 2 x^{4}))

\frac{8 x ^{3} - 18 x}{12 - 9 x ^{2} + 2 x ^{4}}

Solution steps

\frac{d}{d x} (ln (12 - 9 x^{2} + 2 x^{4}))

Apply the chain rule:

\frac{1}{12 - 9 x ^{2} + 2 x ^{4}} \frac{d}{d x} (12 - 9 x^{2} + 2 x^{4})

= \frac{1}{12 - 9 x ^{2} + 2 x ^{4}} \frac{d}{d x} (12 - 9 x^{2} + 2 x^{4})

\frac{d}{d x} (12 - 9 x^{2} + 2 x^{4}) = 8 x^{3} - 18 x

= \frac{1}{12 - 9 x ^{2} + 2 x ^{4}} (8 x^{3} - 18 x)

Simplify

\frac{1}{12 - 9 x ^{2} + 2 x ^{4}} (8 x^{3} - 18 x) : \frac{8 x ^{3} - 18 x}{12 - 9 x ^{2} + 2 x ^{4}}

= \frac{8 x ^{3} - 18 x}{12 - 9 x ^{2} + 2 x ^{4}}

30 e^{- x^{\frac{2}{3}}}

y = arcsin (x)

y = (x^{2} + 3 x - 2)^{4}

\int \frac{1}{x ^{2} + 7 x + 6} d x

x \to - 2 lim (\frac{8}{x - 3})

What is the derivative of ln(12-9x^2+2x^4) ?
The derivative of ln(12-9x^2+2x^4) is (8x^3-18x)/(12-9x^2+2x^4)
What is the first derivative of ln(12-9x^2+2x^4) ?
The first derivative of ln(12-9x^2+2x^4) is (8x^3-18x)/(12-9x^2+2x^4)