derivative of 1/x-3sin(x)

Lösung

\frac{d}{d x} (\frac{1}{x} - 3 sin (x))

- \frac{1}{x ^{2}} - 3 cos (x)

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x} - 3 sin (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{x}) - \frac{d}{d x} (3 sin (x))

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

= - \frac{1}{x ^{2}} - 3 cos (x)

\int \frac{13 x ^{3}}{3 + x ^{2}} d x

\int \frac{4}{6 - 2 x} d x

\frac{d}{d x} (- cos (3 x - 2 + \frac{π}{2}))

x \to 3 lim (9 - x^{2})

\int 2 cos (x) + sec^{2} (x) d x