derivative-4x+1/x-3

Lösung

ableitung von

- 4 x + \frac{1}{x} - 3

- \frac{1}{x ^{2}} - 4

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

= - \frac{d}{d x} (4 x) + \frac{d}{d x} (\frac{1}{x}) - \frac{d}{d x} (3)

\frac{d}{d x} (4 x) = 4

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

\frac{d}{d x} (3) = 0

= - 4 - \frac{1}{x ^{2}} - 0

Vereinfache

= - \frac{1}{x ^{2}} - 4

\frac{\partial}{\partial x} (x^{2} + 2 y + 2 z - 12)

in v erse l a pl a ce \frac{10}{( s + 1 ) ^{2} ( s + 3 )}

\int \frac{1}{169 - x ^{2}} d x

\int cos (x) ln (2) 2^{x} + 2^{x} sin (x) d x

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