en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sqrt(1+x^4)

Solution

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

Solution

\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}}

Popular Examples

tangent of g(x)=sqrt(x),\at x=121 tangent of

g (x) = x, at x = 121

derivative of ln(sqrt(((2x+1))/(x^2-3)))derivative of

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

integral from 0 to 1 of 5(1+sqrt(x))^5

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

integral of xln(x^2)

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

limit as x approaches 2 of kx^2

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

Frequently Asked Questions (FAQ)

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))