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Beliebt Rechnen >

(d^2)/(dx^2)((1+1/x)^3)

Lösung

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

Lösung

- \frac{6 ( x + 1 ) ( - x - 2 )}{x ^{5}}

Schritte zur Lösung

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

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

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

\frac{d}{d x} (- \frac{3 ( x + 1 ) ^{2}}{x ^{4}}) = - \frac{6 ( x + 1 ) ( - x - 2 )}{x ^{5}}

= - \frac{6 ( x + 1 ) ( - x - 2 )}{x ^{5}}

Beliebte Beispiele

tangent f(x)=x^2+2,(-3,11)

t an g e n t f (x) = x^{2} + 2, (- 3, 11)

(\partial)/(\partial x)(xe^y+ye^z+ze^x)

\frac{\partial}{\partial x} (x e^{y} + y e^{z} + z e^{x})

y(1+x^2)y^'-x(1+y^2)=0

y (1 + x^{2}) y^{^{'}} - x (1 + y^{2}) = 0

derivative y=12

d er i v a t i v e y = 12

limit as x approaches 0 of 2x-7

x \to 0 lim (2 x - 7)