What is the derivative of sqrt(1+x^4) ?

The derivative of sqrt(1+x^4) is (2x^3)/(sqrt(1+x^4))

What is the first derivative of sqrt(1+x^4) ?

The first derivative of sqrt(1+x^4) is (2x^3)/(sqrt(1+x^4))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (1 + x^{4}) = 4 x^{3}

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

Simplify

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

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

g (x) = x, at x = 121

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

\int_{0}^{1} 5 (1 + x)^{5} d x

\int x ln (x^{2}) d x

x \to 2 lim (k x^{2})

What is the derivative of sqrt(1+x^4) ?
The derivative of sqrt(1+x^4) is (2x^3)/(sqrt(1+x^4))
What is the first derivative of sqrt(1+x^4) ?
The first derivative of sqrt(1+x^4) is (2x^3)/(sqrt(1+x^4))