What is the derivative of (x^9-1)^3 ?

The derivative of (x^9-1)^3 is 27x^8(x^9-1)^2

What is the first derivative of (x^9-1)^3 ?

The first derivative of (x^9-1)^3 is 27x^8(x^9-1)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

(x^{9} - 1)^{3}

27 x^{8} (x^{9} - 1)^{2}

Solution steps

\frac{d}{d x} ((x^{9} - 1)^{3})

Apply the chain rule:

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

= 3 (x^{9} - 1)^{2} \frac{d}{d x} (x^{9} - 1)

\frac{d}{d x} (x^{9} - 1) = 9 x^{8}

= 3 (x^{9} - 1)^{2} \cdot 9 x^{8}

Simplify

= 27 x^{8} (x^{9} - 1)^{2}

What is the derivative of (x^9-1)^3 ?
The derivative of (x^9-1)^3 is 27x^8(x^9-1)^2
What is the first derivative of (x^9-1)^3 ?
The first derivative of (x^9-1)^3 is 27x^8(x^9-1)^2