What is the derivative of sqrt(x^4+4) ?

The derivative of sqrt(x^4+4) is (2x^3)/(sqrt(x^4+4))

What is the first derivative of sqrt(x^4+4) ?

The first derivative of sqrt(x^4+4) is (2x^3)/(sqrt(x^4+4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

x^{4} + 4

\frac{2 x ^{3}}{x ^{4} + 4}

Solution steps

\frac{d}{d x} (x^{4} + 4)

Apply the chain rule:

\frac{1}{2 x ^{4} + 4} \frac{d}{d x} (x^{4} + 4)

= \frac{1}{2 x ^{4} + 4} \frac{d}{d x} (x^{4} + 4)

\frac{d}{d x} (x^{4} + 4) = 4 x^{3}

= \frac{1}{2 x ^{4} + 4} \cdot 4 x^{3}

Simplify

\frac{1}{2 x ^{4} + 4} \cdot 4 x^{3} : \frac{2 x ^{3}}{x ^{4} + 4}

= \frac{2 x ^{3}}{x ^{4} + 4}

\frac{\partial}{\partial x} (e^{x^{2} + x y})

y^{^{''}} - 9 y = 54

(- 8, - 6), (- 18, 6)

y = x^{2} - 3 x - 3, (2, - 5)

(- 5, - 11), (5, 3)

What is the derivative of sqrt(x^4+4) ?
The derivative of sqrt(x^4+4) is (2x^3)/(sqrt(x^4+4))
What is the first derivative of sqrt(x^4+4) ?
The first derivative of sqrt(x^4+4) is (2x^3)/(sqrt(x^4+4))