derivative of x+8/x

Lösung

\frac{d}{d x} (x + \frac{8}{x})

1 - \frac{8}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (x + \frac{8}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} + \frac{d}{d x} (\frac{8}{x})

\frac{d x}{d x} = 1

\frac{d}{d x} (\frac{8}{x}) = - \frac{8}{x ^{2}}

= 1 - \frac{8}{x ^{2}}

x \to 1 lim (\frac{cos ( π x )}{3})

x \to \infty lim \frac{( ( - 4 ) ^{x + 1} )}{( x + 1 ) \cdot 4 ^{x + 1}}

y^{^{''}} + 36 y = 24 sin (6 t)

t an g e n t y = \frac{1}{7 t ^{3}}

\int_{2}^{3} \frac{38}{3 - x} d x