de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dy)/(dx)=(4x^2)/(sqrt(4+x^3))

Lösung

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

Lösung

y = \frac{8}{3} 4 + x^{3} + c_{1}

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{4 x ^{2}}{4 + x ^{3}}

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

y = \int \frac{4 x ^{2}}{4 + x ^{3}} d x

\int \frac{4 x ^{2}}{4 + x ^{3}} d x = \frac{8}{3} 4 + x^{3} + c_{1}

y = \frac{8}{3} 4 + x^{3} + c_{1}

Graph

Beliebte Beispiele

integral of (x^3)/(4+x^4)

\int \frac{x ^{3}}{4 + x ^{4}} d x

derivative of 7x+9

\frac{d}{d x} (7 x + 9)

sum from n=0 to infinity of 1/(n+6)

n = 0 \sum \infty \frac{1}{n + 6}

integral of e^xcos(4x)

\int e^{x} cos (4 x) d x

tangent f(x)=x^4-17x^2+16,\at x=-2

t an g e n t f (x) = x^{4} - 17 x^{2} + 16, at x = - 2