What is the derivative of sqrt(x^3+1) ?

The derivative of sqrt(x^3+1) is (3x^2)/(2sqrt(x^3+1))

What is the first derivative of sqrt(x^3+1) ?

The first derivative of sqrt(x^3+1) is (3x^2)/(2sqrt(x^3+1))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{3} + 1

\frac{3 x ^{2}}{2 x ^{3} + 1}

Solution steps

\frac{d}{d x} (x^{3} + 1)

Apply the chain rule:

\frac{1}{2 x ^{3} + 1} \frac{d}{d x} (x^{3} + 1)

= \frac{1}{2 x ^{3} + 1} \frac{d}{d x} (x^{3} + 1)

\frac{d}{d x} (x^{3} + 1) = 3 x^{2}

= \frac{1}{2 x ^{3} + 1} \cdot 3 x^{2}

Simplify

\frac{1}{2 x ^{3} + 1} \cdot 3 x^{2} : \frac{3 x ^{2}}{2 x ^{3} + 1}

= \frac{3 x ^{2}}{2 x ^{3} + 1}

f (p) = 325 - 3 p

\int 8 x + 4 d x

\frac{d y}{y} = x d x

\int_{- 2}^{2} (4 - x^{2}) d x

\int 20 tan^{4} (x) d x

What is the derivative of sqrt(x^3+1) ?
The derivative of sqrt(x^3+1) is (3x^2)/(2sqrt(x^3+1))
What is the first derivative of sqrt(x^3+1) ?
The first derivative of sqrt(x^3+1) is (3x^2)/(2sqrt(x^3+1))