What is the derivative of (6x^2+8)^6 ?

The derivative of (6x^2+8)^6 is 72x(6x^2+8)^5

What is the first derivative of (6x^2+8)^6 ?

The first derivative of (6x^2+8)^6 is 72x(6x^2+8)^5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

(6 x^{2} + 8)^{6}

72 x (6 x^{2} + 8)^{5}

Solution steps

\frac{d}{d x} ((6 x^{2} + 8)^{6})

Apply the chain rule:

6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

= 6 (6 x^{2} + 8)^{5} \frac{d}{d x} (6 x^{2} + 8)

\frac{d}{d x} (6 x^{2} + 8) = 12 x

= 6 (6 x^{2} + 8)^{5} \cdot 12 x

Simplify

= 72 x (6 x^{2} + 8)^{5}

\int (e^{x} sin (y)) d x

\int \frac{e ^{x}}{( 1 - e ^{x} ) ^{5}} d x

\int \frac{x + 2}{x - 2} d x

f (x) = \frac{1}{x + 8}, at x = 5

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

What is the derivative of (6x^2+8)^6 ?
The derivative of (6x^2+8)^6 is 72x(6x^2+8)^5
What is the first derivative of (6x^2+8)^6 ?
The first derivative of (6x^2+8)^6 is 72x(6x^2+8)^5