de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sqrt(x^3+10)

Lösung

\frac{d}{d x} (x^{3} + 10)

Lösung

\frac{3 x ^{2}}{2 x ^{3} + 10}

Schritte zur Lösung

\frac{d}{d x} (x^{3} + 10)

Wende die Kettenregel an:

\frac{1}{2 x ^{3} + 10} \frac{d}{d x} (x^{3} + 10)

= \frac{1}{2 x ^{3} + 10} \frac{d}{d x} (x^{3} + 10)

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

= \frac{1}{2 x ^{3} + 10} \cdot 3 x^{2}

Vereinfache

\frac{1}{2 x ^{3} + 10} \cdot 3 x^{2} : \frac{3 x ^{2}}{2 x ^{3} + 10}

= \frac{3 x ^{2}}{2 x ^{3} + 10}

Graph

Beliebte Beispiele

integral of (ln(x+1))/((x+1)^3)

\int \frac{ln ( x + 1 )}{( x + 1 ) ^{3}} d x

y^'=(x+1)*(y+1)

y^{^{'}} = (x + 1) \cdot (y + 1)

(x^2-1)(dy)/(dx)=x(y-1)

(x^{2} - 1) \frac{d y}{d x} = x (y - 1)

integral of 1/(2+x-x^2)

\int \frac{1}{2 + x - x ^{2}} d x

integral of (-2x)/(x^2+1)

\int \frac{- 2 x}{x ^{2} + 1} d x