derivative c/x+(2a)/(x^3)+8

Lösung

ableitung von

\frac{c}{x} + \frac{2 a}{x ^{3}} + 8

- \frac{c}{x ^{2}} - \frac{6 a}{x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (\frac{c}{x} + \frac{2 a}{x ^{3}} + 8)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{c}{x}) + \frac{d}{d x} (\frac{2 a}{x ^{3}}) + \frac{d}{d x} (8)

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

\frac{d}{d x} (\frac{2 a}{x ^{3}}) = - \frac{6 a}{x ^{4}}

\frac{d}{d x} (8) = 0

= - \frac{c}{x ^{2}} - \frac{6 a}{x ^{4}} + 0

Vereinfache

= - \frac{c}{x ^{2}} - \frac{6 a}{x ^{4}}

\frac{d}{d x} (\frac{1 + csc ( x ^{9} )}{1 - cot ( x ^{9} )})

\frac{\partial}{\partial y} (ln (2 w^{3} - 7 y + 3 x y^{2}))

d er i v a t i v e y = \frac{6 x}{1 - tan ( x )}

\frac{\partial}{\partial x} (x^{\frac{1}{4}} \cdot y^{\frac{1}{2}})

\int_{0}^{2} π (x^{2} - L)^{2} d x