derivative of 1/(x^7+1/(x^8))

Lösung

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{1}{x ^{8}})

- \frac{7}{x ^{8}} - \frac{8}{x ^{9}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{x ^{7}} + \frac{1}{x ^{8}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{1}{x ^{7}}) + \frac{d}{d x} (\frac{1}{x ^{8}})

\frac{d}{d x} (\frac{1}{x ^{7}}) = - \frac{7}{x ^{8}}

\frac{d}{d x} (\frac{1}{x ^{8}}) = - \frac{8}{x ^{9}}

= - \frac{7}{x ^{8}} - \frac{8}{x ^{9}}

n = 1 \sum \infty n e^{7 n}

d er i v a t i v e \frac{x}{( 1 + x ^{2} )}

x \to - 4 lim (\frac{x ^{2} + 2}{x + 5})

\frac{d y}{d x} = x y^{2}

\frac{\partial}{\partial y} (x \cdot y + y^{2})