What is the derivative of (x^{11}-1)^3 ?

The derivative of (x^{11}-1)^3 is 33x^{10}(x^{11}-1)^2

What is the first derivative of (x^{11}-1)^3 ?

The first derivative of (x^{11}-1)^3 is 33x^{10}(x^{11}-1)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(x^{11} - 1)^{3}

33 x^{10} (x^{11} - 1)^{2}

Solution steps

\frac{d}{d x} ((x^{11} - 1)^{3})

Apply the chain rule:

3 (x^{11} - 1)^{2} \frac{d}{d x} (x^{11} - 1)

= 3 (x^{11} - 1)^{2} \frac{d}{d x} (x^{11} - 1)

\frac{d}{d x} (x^{11} - 1) = 11 x^{10}

= 3 (x^{11} - 1)^{2} \cdot 11 x^{10}

Simplify

= 33 x^{10} (x^{11} - 1)^{2}

y = 6 e^{x} cos (x)

\int 1^{- x} d x

\int x e^{x - 1} d x

\frac{\partial}{\partial x} (y \cdot x)

x \to 6 lim (2 x + 3 x)

What is the derivative of (x^{11}-1)^3 ?
The derivative of (x^{11}-1)^3 is 33x^{10}(x^{11}-1)^2
What is the first derivative of (x^{11}-1)^3 ?
The first derivative of (x^{11}-1)^3 is 33x^{10}(x^{11}-1)^2