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Beliebt Rechnen >

derivative f(x)= 1/(x^6)+1/(x^8)

Lösung

ableitung von

f (x) = \frac{1}{x ^{6}} + \frac{1}{x ^{8}}

Lösung

- \frac{6}{x ^{7}} - \frac{8}{x ^{9}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{6}} + \frac{1}{x ^{8}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{x ^{6}}) + \frac{d}{d x} (\frac{1}{x ^{8}})

\frac{d}{d x} (\frac{1}{x ^{6}}) = - \frac{6}{x ^{7}}

\frac{d}{d x} (\frac{1}{x ^{8}}) = - \frac{8}{x ^{9}}

= - \frac{6}{x ^{7}} - \frac{8}{x ^{9}}

Graph

Beliebte Beispiele

fläche sin(x),cos(x),[ pi/4 ,(5pi)/4 ]

a re a sin (x), cos (x), [\frac{π}{4}, \frac{5 π}{4}]

x^2y^{''}-3xy^'+13y=0

x^{2} y^{^{''}} - 3 x y^{^{'}} + 13 y = 0

integral of arccot(9y)

\int arccot (9 y) d y

integral of (12x^5)/(3+2x^6)

\int \frac{12 x ^{5}}{3 + 2 x ^{6}} d x

derivative of sin^4(2x)

\frac{d}{d x} (sin^{4} (2 x))