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

Lösung

ableitung von

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

3 x^{2} - 6 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 3 x^{2} - 6 x

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

\int \frac{x ^{2} I n ^{3} ( 1 + x ^{3} )}{1 + x ^{3}} d x

\frac{d}{d x} (e^{i x}^{2})

n = 0 \sum \infty \frac{5}{3 ^{n}}

x \to 2 lim (\frac{2 x ^{2}}{x})