derivative of (x^3-2x^2+3x+1^{11})

Lösung

\frac{d}{d x} ((x^{3} - 2 x^{2} + 3 x + 1)^{11})

11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} (3 x^{2} - 4 x + 3)

Schritte zur Lösung

\frac{d}{d x} ((x^{3} - 2 x^{2} + 3 x + 1)^{11})

Wende die Kettenregel an:

11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} \frac{d}{d x} (x^{3} - 2 x^{2} + 3 x + 1)

= 11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} \frac{d}{d x} (x^{3} - 2 x^{2} + 3 x + 1)

\frac{d}{d x} (x^{3} - 2 x^{2} + 3 x + 1) = 3 x^{2} - 4 x + 3

= 11 (x^{3} - 2 x^{2} + 3 x + 1)^{10} (3 x^{2} - 4 x + 3)

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

d er i v a t i v e ln (2) \cdot 2^{x^{2} + 2} x

s l o p e (0.4) (6)

x \to 2 + lim (- 6 x^{2} + 14)

\frac{d}{d x} (ln (sec (5 x) + tan (5 x)))