What is the derivative of y=(3x^2+5x)^2 ?

The derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)

What is the first derivative of y=(3x^2+5x)^2 ?

The first derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative

2 (3 x^{2} + 5 x) (6 x + 5)

Solution steps

\frac{d}{d x} ((3 x^{2} + 5 x)^{2})

Apply the chain rule:

2 (3 x^{2} + 5 x) \frac{d}{d x} (3 x^{2} + 5 x)

= 2 (3 x^{2} + 5 x) \frac{d}{d x} (3 x^{2} + 5 x)

\frac{d}{d x} (3 x^{2} + 5 x) = 6 x + 5

= 2 (3 x^{2} + 5 x) (6 x + 5)

What is the derivative of y=(3x^2+5x)^2 ?
The derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)
What is the first derivative of y=(3x^2+5x)^2 ?
The first derivative of y=(3x^2+5x)^2 is 2(3x^2+5x)(6x+5)