derivative 2x+5x^{-1}

Lösung

ableitung von

2 x + 5 x^{- 1}

2 - \frac{5}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (2 x + 5 x^{- 1})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (5 x^{- 1})

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

\frac{d}{d x} (5 x^{- 1}) = - \frac{5}{x ^{2}}

= 2 - \frac{5}{x ^{2}}

\int_{1}^{4} (4 x^{2} - 2 x) d x

(\frac{3 y ^{2} - x ^{2}}{y ^{5}}) \frac{d y}{d x} + \frac{x}{2 y ^{4}} = 0

\frac{\partial}{\partial x} (x (x^{2} + 1))

in v erse l a pl a ce \frac{3}{s - 5} - \frac{2}{s + 7}

\int b^{x} d x