What is the derivative of (x^8-1^3) ?

The derivative of (x^8-1^3) is 24x^7(x^8-1)^2

What is the first derivative of (x^8-1^3) ?

The first derivative of (x^8-1^3) is 24x^7(x^8-1)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

\frac{d}{d x} ((x^{8} - 1)^{3})

24 x^{7} (x^{8} - 1)^{2}

Solution steps

\frac{d}{d x} ((x^{8} - 1)^{3})

Apply the chain rule:

3 (x^{8} - 1)^{2} \frac{d}{d x} (x^{8} - 1)

= 3 (x^{8} - 1)^{2} \frac{d}{d x} (x^{8} - 1)

\frac{d}{d x} (x^{8} - 1) = 8 x^{7}

= 3 (x^{8} - 1)^{2} \cdot 8 x^{7}

Simplify

= 24 x^{7} (x^{8} - 1)^{2}

\int cot^{2} (x cs) c^{4} x d x

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

\frac{d}{d x} (\frac{cos ( y ) + 2 e ^{- x} cos ( x )}{y})

y = 3 x e^{x}, (0, 0)

y^{^{'}} = x y + x

What is the derivative of (x^8-1^3) ?
The derivative of (x^8-1^3) is 24x^7(x^8-1)^2
What is the first derivative of (x^8-1^3) ?
The first derivative of (x^8-1^3) is 24x^7(x^8-1)^2