derivative of-(18/(x^3)+3/(x^2))

Lösung

\frac{d}{d x} (- \frac{18}{x ^{3}} + \frac{3}{x ^{2}})

\frac{54}{x ^{4}} - \frac{6}{x ^{3}}

Schritte zur Lösung

\frac{d}{d x} (- \frac{18}{x ^{3}} + \frac{3}{x ^{2}})

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (\frac{18}{x ^{3}}) + \frac{d}{d x} (\frac{3}{x ^{2}})

\frac{d}{d x} (\frac{18}{x ^{3}}) = - \frac{54}{x ^{4}}

\frac{d}{d x} (\frac{3}{x ^{2}}) = - \frac{6}{x ^{3}}

= - (- \frac{54}{x ^{4}}) - \frac{6}{x ^{3}}

Vereinfache

= \frac{54}{x ^{4}} - \frac{6}{x ^{3}}

9 (t + 1) y^{^{'}} - 7 y = 14 t

2 y + sin (2 t) = \frac{d y}{d t}

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

\frac{\partial}{\partial x} (x + z)

\frac{d}{d x} (x^{\frac{2}{3}} y^{\frac{1}{3}})