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

The derivative of (x^2+x^6) is 6(x^2+x)^5(2x+1)

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

The first derivative of (x^2+x^6) is 6(x^2+x)^5(2x+1)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

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

6 (x^{2} + x)^{5} (2 x + 1)

Solution steps

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

Apply the chain rule:

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

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

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

= 6 (x^{2} + x)^{5} (2 x + 1)

What is the derivative of (x^2+x^6) ?
The derivative of (x^2+x^6) is 6(x^2+x)^5(2x+1)
What is the first derivative of (x^2+x^6) ?
The first derivative of (x^2+x^6) is 6(x^2+x)^5(2x+1)