derivative h(x)=(x^2-3)^3

Lösung

ableitung von

h (x) = (x^{2} - 3)^{3}

6 x (x^{2} - 3)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 3 (x^{2} - 3)^{2} \cdot 2 x

Vereinfache

= 6 x (x^{2} - 3)^{2}

\int_{- 8}^{2} \frac{1}{∣ 2 x ∣} d x

\frac{d}{d y} (sin (2 y))

y^{^{'''}} - y^{^{''}} - 16 y^{^{'}} + 16 y = 0

x \to 0 lim (\frac{sin ^{5} ( x )}{x})

\frac{\partial}{\partial y} (3 x^{2} - 5 y)