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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

f (x) = ln (3 x + 1)

\int (x^{3} - 2 x^{2}) (\frac{1}{x} - 5) d x

x \to 2 - lim (ln (2 - x))

\int x e^{8 x^{2}} d x

\frac{d y}{d t} = e^{t} (1 - 1)^{2}

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