derivative of 30+1/(x+1-3x^2)

Lösung

\frac{d}{d x} (30 + \frac{1}{x + 1} - 3 x^{2})

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

Schritte zur Lösung

\frac{d}{d x} (30 + \frac{1}{x + 1} - 3 x^{2})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (30) + \frac{d}{d x} (\frac{1}{x + 1}) - \frac{d}{d x} (3 x^{2})

\frac{d}{d x} (30) = 0

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

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

= 0 - \frac{1}{( x + 1 ) ^{2}} - 6 x

Vereinfache

= - 6 x - \frac{1}{( x + 1 ) ^{2}}

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

in v erse l a pl a ce \frac{5 s + 3}{( s - 1 ) ( s ^{2} + 2 s + 5 )}

\frac{\partial}{\partial y} (x^{2} + e^{x y})

d er i v a t i v e y = csc^{1} (e^{8 t})

\int (x^{3} - 7 x) d x