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

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

x \to 2 + lim (\frac{x}{x ^{2} + 4})

x \to 7 lim (\frac{6 x}{x - 7})

\frac{d}{d x} (x^{- 9 c o s (x)})

3 \frac{d y}{d t} = y - t^{2} y

\frac{\partial}{\partial x} (cos (4 y - 3 x))