What is the derivative of 4(x^3-1^3) ?

The derivative of 4(x^3-1^3) is 36x^2(x^3-1)^2

What is the first derivative of 4(x^3-1^3) ?

The first derivative of 4(x^3-1^3) is 36x^2(x^3-1)^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} (4 (x^{3} - 1)^{3})

36 x^{2} (x^{3} - 1)^{2}

Solution steps

\frac{d}{d x} (4 (x^{3} - 1)^{3})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} ((x^{3} - 1)^{3})

Apply the chain rule:

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

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

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

= 4 \cdot 3 (x^{3} - 1)^{2} \cdot 3 x^{2}

Simplify

= 36 x^{2} (x^{3} - 1)^{2}

x \to a lim (\frac{4}{1 - x})

f (x) = ln (x)

\int \frac{2 \cdot 3 ^{x}}{2 ^{x}} d x

\int_{0}^{π} tan (\frac{x}{3}) d x

\int \frac{5}{25 - x ^{2}} d x

What is the derivative of 4(x^3-1^3) ?
The derivative of 4(x^3-1^3) is 36x^2(x^3-1)^2
What is the first derivative of 4(x^3-1^3) ?
The first derivative of 4(x^3-1^3) is 36x^2(x^3-1)^2