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+(9x^2)/((3x^3+1)^{3/2)}

Lösung

\frac{d y}{d x} = 4 x + \frac{9 x ^{2}}{( 3 x ^{3} + 1 ) ^{\frac{3}{2}}}

Lösung

y = 2 x^{2} - \frac{2}{( 3 x ^{3} + 1 ) ^{\frac{1}{2}}} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = 4 x + \frac{9 x ^{2}}{( 3 x ^{3} + 1 ) ^{\frac{3}{2}}}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = 4 x + \frac{9 x ^{2}}{( 3 x ^{3} + 1 ) ^{\frac{3}{2}}}

Wenn

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

dann

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

y = \int 4 x + \frac{9 x ^{2}}{( 3 x ^{3} + 1 ) ^{\frac{3}{2}}} d x

\int 4 x + \frac{9 x ^{2}}{( 3 x ^{3} + 1 ) ^{\frac{3}{2}}} d x = 2 x^{2} - \frac{2}{( 3 x ^{3} + 1 ) ^{\frac{1}{2}}} + c_{1}

y = 2 x^{2} - \frac{2}{( 3 x ^{3} + 1 ) ^{\frac{1}{2}}} + c_{1}

Graph

Beliebte Beispiele

integral from 0 to 1 of (3x+1)cos(x)

\int_{0}^{1} (3 x + 1) cos (x) d x

derivative of-9x^2+4x+5

\frac{d}{d x} (- 9 x^{2} + 4 x + 5)

integral of cot^4(x)

\int cot^{4} (x) d x

(dy)/(dx)=sqrt(y/x)

\frac{d y}{d x} = \frac{y}{x}

integral of 1/((pix-1))

\int \frac{1}{( π x - 1 )} d x