derivative f(x)=(-3x^3+3x^2)^3

Lösung

ableitung von

f (x) = (- 3 x^{3} + 3 x^{2})^{3}

3 (- 3 x^{3} + 3 x^{2})^{2} (- 9 x^{2} + 6 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (- 3 x^{3} + 3 x^{2}) = - 9 x^{2} + 6 x

= 3 (- 3 x^{3} + 3 x^{2})^{2} (- 9 x^{2} + 6 x)

x \to - 1 lim (arccos (x))

\int_{0}^{π} 3 sin^{2} (x co) s^{4} x d x

x \to 7 lim (\frac{( \frac{1}{x} - \frac{1}{7} )}{x - 7})

\int \frac{x ^{3}}{x ^{8} + 16} d x

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