derivative sqrt(x)+(x-6)^6

Lösung

ableitung von

x + (x - 6)^{6}

\frac{1}{2 x} + 6 (x - 6)^{5}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= \frac{1}{2 x} + 6 (x - 6)^{5}

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

x \to \frac{π}{3} lim (cot (3 x))

\frac{\partial}{\partial x} (x^{2} e^{5 x y})

\frac{d}{d x} (- ln (1 + 6 x))

\frac{\partial}{\partial x} (cos^{n} (x))