What is the derivative of f(x)=(2-3x^3)^{-2} ?

The derivative of f(x)=(2-3x^3)^{-2} is (18x^2)/((2-3x^3)^3)

What is the first derivative of f(x)=(2-3x^3)^{-2} ?

The first derivative of f(x)=(2-3x^3)^{-2} is (18x^2)/((2-3x^3)^3)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = (2 - 3 x^{3})^{- 2}

\frac{18 x ^{2}}{( 2 - 3 x ^{3} ) ^{3}}

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (2 - 3 x^{3}) = - 9 x^{2}

= - \frac{2}{( 2 - 3 x ^{3} ) ^{3}} (- 9 x^{2})

Simplify

- \frac{2}{( 2 - 3 x ^{3} ) ^{3}} (- 9 x^{2}) : \frac{18 x ^{2}}{( 2 - 3 x ^{3} ) ^{3}}

= \frac{18 x ^{2}}{( 2 - 3 x ^{3} ) ^{3}}

\int_{0}^{π} 9 sin^{4} (3 t) d t

6 - 2 e^{x}

x \to 0 lim (2 cos (\frac{π}{x}))

\int_{1}^{\infty} \frac{1}{x ^{5}} d x

\int \frac{ln ( 8 x )}{x} d x

What is the derivative of f(x)=(2-3x^3)^{-2} ?
The derivative of f(x)=(2-3x^3)^{-2} is (18x^2)/((2-3x^3)^3)
What is the first derivative of f(x)=(2-3x^3)^{-2} ?
The first derivative of f(x)=(2-3x^3)^{-2} is (18x^2)/((2-3x^3)^3)