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Beliebt Rechnen >

derivative f(x)= A/(x^7)+Be^7

Lösung

ableitung von

f (x) = \frac{A}{x ^{7}} + B e^{7}

Lösung

- \frac{7 A}{x ^{8}}

Schritte zur Lösung

\frac{d}{d x} (\frac{A}{x ^{7}} + B e^{7})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{A}{x ^{7}}) + \frac{d}{d x} (B e^{7})

\frac{d}{d x} (\frac{A}{x ^{7}}) = - \frac{7 A}{x ^{8}}

\frac{d}{d x} (B e^{7}) = 0

= - \frac{7 A}{x ^{8}} + 0

Vereinfache

= - \frac{7 A}{x ^{8}}

Graph

Beliebte Beispiele

derivative of cos(2)

\frac{d}{d x} (cos (2))

integral from 1 to 3 of (x^2+1)^3

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

(d^2)/(dx^2)(8xcos(x^2))

\frac{d ^{2}}{d x ^{2}} (8 x cos (x^{2}))

derivative of sec^2(x-3)

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

tangent-3x^2,\at x=8

t an g e n t - 3 x^{2}, at x = 8