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Beliebt Rechnen >

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

Lösung

\frac{d}{d x} (\frac{4}{x ^{3}} + 3 x)

Lösung

- \frac{12}{x ^{4}} + 3

Schritte zur Lösung

\frac{d}{d x} (\frac{4}{x ^{3}} + 3 x)

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{4}{x ^{3}}) = - \frac{12}{x ^{4}}

\frac{d}{d x} (3 x) = 3

= - \frac{12}{x ^{4}} + 3

Graph

Beliebte Beispiele

derivative 6cos(6x)

d er i v a t i v e 6 cos (6 x)

integral from-1 to 0 of x^2e^{x^3+1}

\int_{- 1}^{0} x^{2} e^{x^{3} + 1} d x

y^5*(y^'-y)=e^{6x}

y^{5} \cdot (y^{^{'}} - y) = e^{6 x}

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

\frac{d y}{d x} = - \frac{2 y ^{2}}{x ^{2}}

derivative (x+4x)(x^{3/2}-x)

d er i v a t i v e (x + 4 x) (x^{\frac{3}{2}} - x)