derivative of (3x^2+1^3)

Lösung

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

18 x (3 x^{2} + 1)^{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

= 3 (3 x^{2} + 1)^{2} \frac{d}{d x} (3 x^{2} + 1)

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= 3 (3 x^{2} + 1)^{2} \cdot 6 x

Vereinfache

= 18 x (3 x^{2} + 1)^{2}

a re a y = x^{3} - 3 x^{2} - x + 3, - 1 < x \leq 3

x \to 1 + lim (\frac{1}{2} x + 3)

x \to - 1 lim (sin (3 x) + 2)

\frac{d}{d x} (3 x^{4} - 12 x^{3})

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