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Beliebt Rechnen >

derivative f(x)= 5/(x^2)+sin(x)

Lösung

ableitung von

f (x) = \frac{5}{x ^{2}} + sin (x)

Lösung

- \frac{10}{x ^{3}} + cos (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (\frac{5}{x ^{2}}) = - \frac{10}{x ^{3}}

\frac{d}{d x} (sin (x)) = cos (x)

= - \frac{10}{x ^{3}} + cos (x)

Graph

Beliebte Beispiele

x^'=0.1078*(1-x/(105900))x-x

x^{^{'}} = 0.1078 \cdot (1 - \frac{x}{105900}) x - x

sum from n=1 to infinity of (15)/n

n = 1 \sum \infty \frac{15}{n}

integral from 0 to 1 of xe^{2x}

\int_{0}^{1} x e^{2 x} d x

y^{^{'}} + 4 y = 6

derivative-6.25t^2+50t

d er i v a t i v e - 6.25 t^{2} + 50 t