derivative (4-2x^2)^3

Lösung

ableitung von

(4 - 2 x^{2})^{3}

- 12 x (4 - 2 x^{2})^{2}

Schritte zur Lösung

\frac{d}{d x} ((4 - 2 x^{2})^{3})

Wende die Kettenregel an:

3 (4 - 2 x^{2})^{2} \frac{d}{d x} (4 - 2 x^{2})

= 3 (4 - 2 x^{2})^{2} \frac{d}{d x} (4 - 2 x^{2})

\frac{d}{d x} (4 - 2 x^{2}) = - 4 x

= 3 (4 - 2 x^{2})^{2} (- 4 x)

Vereinfache

= - 12 x (4 - 2 x^{2})^{2}

x^{^{'''}} + x^{^{''}} = 0

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

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

d er i v a t i v e (t + 1)^{\frac{2}{3}} (3 t^{2} - 2)^{3}

\frac{d}{d x} (\frac{e ^{x}}{1 + e ^{x}})