de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative 6\sqrt[4]{x}-5/(x^2)

Lösung

ableitung von

6 4 x - \frac{5}{x ^{2}}

Lösung

\frac{3 x ^{3} + 20 x ^{\frac{3}{4}}}{2 x ^{\frac{15}{4}}}

Schritte zur Lösung

\frac{d}{d x} (6 4 x - \frac{5}{x ^{2}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 4 x) - \frac{d}{d x} (\frac{5}{x ^{2}})

\frac{d}{d x} (6 4 x) = \frac{3}{2 x ^{\frac{3}{4}}}

\frac{d}{d x} (\frac{5}{x ^{2}}) = - \frac{10}{x ^{3}}

= \frac{3}{2 x ^{\frac{3}{4}}} - (- \frac{10}{x ^{3}})

Vereinfache

\frac{3}{2 x ^{\frac{3}{4}}} - (- \frac{10}{x ^{3}}) : \frac{3 x ^{3} + 20 x ^{\frac{3}{4}}}{2 x ^{\frac{15}{4}}}

= \frac{3 x ^{3} + 20 x ^{\frac{3}{4}}}{2 x ^{\frac{15}{4}}}

Graph

Beliebte Beispiele

integral of (sqrt(x+36))/x

\int \frac{x + 36}{x} d x

integral of csc(θ)cot(θ)

\int csc (θ) cot (θ) d θ

derivative f(x)=6sqrt(x)

d er i v a t i v e f (x) = 6 x

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

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

(\partial)/(\partial x)(2/(3sqrt(x)))

\frac{\partial}{\partial x} (\frac{2}{3 x})