derivative (x^2-1)^2

Lösung

ableitung von

(x^{2} - 1)^{2}

4 x (x^{2} - 1)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= 2 (x^{2} - 1) \cdot 2 x

Vereinfache

= 4 x (x^{2} - 1)

\int x ln (5 + x) d x

\frac{\partial}{\partial y} (3 x^{3} y)

\int sin (x) \cdot 2 x d x

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

\int \frac{6 x ^{3} + 3 x ^{2} - 46 x - 21}{x ^{2} - 9} d x