What is the derivative of 6(x^3+4)^3 ?

The derivative of 6(x^3+4)^3 is 54x^2(x^3+4)^2

What is the first derivative of 6(x^3+4)^3 ?

The first derivative of 6(x^3+4)^3 is 54x^2(x^3+4)^2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

6 (x^{3} + 4)^{3}

54 x^{2} (x^{3} + 4)^{2}

Solution steps

\frac{d}{d x} (6 (x^{3} + 4)^{3})

Take the constant out:

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

= 6 \frac{d}{d x} ((x^{3} + 4)^{3})

Apply the chain rule:

3 (x^{3} + 4)^{2} \frac{d}{d x} (x^{3} + 4)

= 3 (x^{3} + 4)^{2} \frac{d}{d x} (x^{3} + 4)

\frac{d}{d x} (x^{3} + 4) = 3 x^{2}

= 6 \cdot 3 (x^{3} + 4)^{2} \cdot 3 x^{2}

Simplify

= 54 x^{2} (x^{3} + 4)^{2}

\frac{d}{d x} (- 7 sin (\frac{x}{7}))

y = (x^{2} + 7 x + 1)^{3}

\frac{\partial}{\partial x} (e^{2 z} - x yz)

\int x 1 - x d x

What is the derivative of 6(x^3+4)^3 ?
The derivative of 6(x^3+4)^3 is 54x^2(x^3+4)^2
What is the first derivative of 6(x^3+4)^3 ?
The first derivative of 6(x^3+4)^3 is 54x^2(x^3+4)^2