derivative of x^2-7/(x^3)

Lösung

\frac{d}{d x} (x^{2} - \frac{7}{x ^{3}})

2 x + \frac{21}{x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (x^{2} - \frac{7}{x ^{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (x^{2}) - \frac{d}{d x} (\frac{7}{x ^{3}})

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

\frac{d}{d x} (\frac{7}{x ^{3}}) = - \frac{21}{x ^{4}}

= 2 x - (- \frac{21}{x ^{4}})

Vereinfache

= 2 x + \frac{21}{x ^{4}}

\int x^{2} + 3 x - 2 d x

d er i v a t i v e \frac{π t}{2}

h \to \frac{1}{2} lim (\frac{4 h ^{2} + 4 h - 3}{2 h - 1})

\frac{\partial}{\partial x} (x^{\frac{3}{4}} y^{3})

\frac{d}{d x} ((x^{4} + x - 7) (2 x^{3} + 1))