derivative of (5-6x^5)

Lösung

\frac{d}{d x} ((5 - 6 x)^{5})

- 30 (5 - 6 x)^{4}

Schritte zur Lösung

\frac{d}{d x} ((5 - 6 x)^{5})

Wende die Kettenregel an:

5 (5 - 6 x)^{4} \frac{d}{d x} (5 - 6 x)

= 5 (5 - 6 x)^{4} \frac{d}{d x} (5 - 6 x)

\frac{d}{d x} (5 - 6 x) = - 6

= 5 (5 - 6 x)^{4} (- 6)

Vereinfache

= - 30 (5 - 6 x)^{4}

s im pl i f y 2 x + \frac{3}{x}

x \to \infty lim (x e^{- 1})

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

(x^{2} + 1) \frac{d y}{d x} + x y = 4 1 + x^{2}

t an g e n t 4 x^{2} - x^{3}