derivative y= 8/(x^6)-7/x

Lösung

ableitung von

y = \frac{8}{x ^{6}} - \frac{7}{x}

- \frac{48}{x ^{7}} + \frac{7}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{8}{x ^{6}} - \frac{7}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{8}{x ^{6}}) - \frac{d}{d x} (\frac{7}{x})

\frac{d}{d x} (\frac{8}{x ^{6}}) = - \frac{48}{x ^{7}}

\frac{d}{d x} (\frac{7}{x}) = - \frac{7}{x ^{2}}

= - \frac{48}{x ^{7}} - (- \frac{7}{x ^{2}})

Vereinfache

= - \frac{48}{x ^{7}} + \frac{7}{x ^{2}}

\int 13 sin^{2} (x) cos^{2} (x) d x

\int \frac{1}{x ^{\frac{1}{4}}} d x

t an g e n t f (x) = 3 x^{2} - 5 x, at x = - 1

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

\frac{d y}{d x} - 2 y = + x^{2} + 5