What is the derivative of 4(3-9x^3) ?

The derivative of 4(3-9x^3) is -108(3-9x)^2

What is the first derivative of 4(3-9x^3) ?

The first derivative of 4(3-9x^3) is -108(3-9x)^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 (3 - 9 x)^{3})

- 108 (3 - 9 x)^{2}

Solution steps

\frac{d}{d x} (4 (3 - 9 x)^{3})

Take the constant out:

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

= 4 \frac{d}{d x} ((3 - 9 x)^{3})

Apply the chain rule:

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

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

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

= 4 \cdot 3 (3 - 9 x)^{2} (- 9)

Simplify

= - 108 (3 - 9 x)^{2}

\frac{2}{3 s ^{2} + 6 s + 2}

\int 1 + 2 sin (\frac{x ^{2}}{2}) d x

y^{^{'}} = - 5 y + 5 t^{2} + 2 t

\int_{0}^{1} (x - x^{3}) d x

x \to 5 + lim (\frac{1}{x ^{2} - 25})

What is the derivative of 4(3-9x^3) ?
The derivative of 4(3-9x^3) is -108(3-9x)^2
What is the first derivative of 4(3-9x^3) ?
The first derivative of 4(3-9x^3) is -108(3-9x)^2