derivative f(x)=x^3-1

Lösung

ableitung von

f (x) = x^{3} - 1

3 x^{2}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

= 3 x^{2} - 0

Vereinfache

= 3 x^{2}

\frac{\partial}{\partial x} (4 x^{3} - 5 x^{2} + 8 x)

y^{^{'}} = \frac{2 x + y}{2 x + y + 3}

\int sin^{2} (5 x) d x

d er i v a t i v e 4 e^{x} + \frac{8}{3 x}

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