derivative of 4+4/x

Lösung

\frac{d}{d x} (4 + \frac{4}{x})

- \frac{4}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (4 + \frac{4}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (4) + \frac{d}{d x} (\frac{4}{x})

\frac{d}{d x} (4) = 0

\frac{d}{d x} (\frac{4}{x}) = - \frac{4}{x ^{2}}

= 0 - \frac{4}{x ^{2}}

Vereinfache

= - \frac{4}{x ^{2}}

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

\frac{d x}{d t} = 8 + 4 sin (\frac{t}{4}) - \frac{x}{100}, x (0) = 70

t an g e n t f (x) = \frac{x}{2 x - 8}, at x = 3

x \to \infty lim (\frac{5}{x} - 4)

d er i v a t i v e y = \frac{ln ( x )}{x ^{9}}