de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of 1/(\sqrt[4]{x})

Lösung

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

Lösung

- \frac{1}{4 x ^{\frac{5}{4}}}

Schritte zur Lösung

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

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

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

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= - \frac{1}{4} x^{- \frac{1}{4} - 1}

Vereinfache

- \frac{1}{4} x^{- \frac{1}{4} - 1} : - \frac{1}{4 x ^{\frac{5}{4}}}

= - \frac{1}{4 x ^{\frac{5}{4}}}

Graph

Beliebte Beispiele

sum from n=0 to infinity of (x+1)^n

n = 0 \sum \infty (x + 1)^{n}

derivative of 2xy^4-3

\frac{d}{d x} (2 x y^{4} - 3)

(\partial)/(\partial x)(2x^3y+sin(x^3))

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{3}))

integral of (2x^2+3x)^3

\int (2 x^{2} + 3 x)^{3} d x

derivative y=(f(x))/(x^5)

d er i v a t i v e y = \frac{f ( x )}{x ^{5}}