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Beliebt Rechnen >

derivative h(x)= 3/(x^2)+5/(x^4)

Lösung

ableitung von

h (x) = \frac{3}{x ^{2}} + \frac{5}{x ^{4}}

Lösung

- \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{x ^{2}} + \frac{5}{x ^{4}})

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

\frac{d}{d x} (\frac{5}{x ^{4}}) = - \frac{20}{x ^{5}}

= - \frac{6}{x ^{3}} - \frac{20}{x ^{5}}

Graph

Beliebte Beispiele

x y^{^{'}} - 2 y = 7 x^{2}

derivative (sqrt(9-x^2))/(4x)

d er i v a t i v e \frac{9 - x ^{2}}{4 x}

derivative f(x)=(x+1)(2x-1)

d er i v a t i v e f (x) = (x + 1) (2 x - 1)

integral from 0 to pi/8 of sin^5(4x)

\int_{0}^{\frac{π}{8}} sin^{5} (4 x) d x

y^{'''}+y^{''}+3y^'-5y=0

y^{^{'''}} + y^{^{''}} + 3 y^{^{'}} - 5 y = 0