derivative of cot(3x^4-2x^3-3)

Lösung

\frac{d}{d x} (cot (3 x^{4} - 2 x^{3} - 3))

- csc^{2} (3 x^{4} - 2 x^{3} - 3) (12 x^{3} - 6 x^{2})

Schritte zur Lösung

\frac{d}{d x} (cot (3 x^{4} - 2 x^{3} - 3))

Wende die Kettenregel an:

- csc^{2} (3 x^{4} - 2 x^{3} - 3) \frac{d}{d x} (3 x^{4} - 2 x^{3} - 3)

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

\frac{d}{d x} (3 x^{4} - 2 x^{3} - 3) = 12 x^{3} - 6 x^{2}

= - csc^{2} (3 x^{4} - 2 x^{3} - 3) (12 x^{3} - 6 x^{2})

x \to 4 lim (\frac{6 x - 1}{2 x - 9})

\int - 2.1 x d x

\int_{0}^{4} (4 x + 7) d x

\frac{\partial}{\partial y} (2 y e^{2 z})

d er i v a t i v e f (4) = 4 x^{\frac{5}{4}} + 10 x^{\frac{3}{2}} + 3 x