derivative of csc(x^3+2x-tan(x))

Lösung

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

- cot (x^{3} + 2 x) csc (x^{3} + 2 x) (3 x^{2} + 2) - sec^{2} (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= - cot (x^{3} + 2 x) csc (x^{3} + 2 x) (3 x^{2} + 2) - sec^{2} (x)

\frac{\partial}{\partial z} (- y^{2} sin (z))

x \to - 1 + lim ((x + 2 x^{3})^{4})

\int (y^{\frac{3}{2}})^{2} d y

y^{^{''}} + 9 y = 18 - 18 e^{- t}, y (0) = 0, y^{^{'}} (0) = 0

\int 2 csc (y) (cot (y) - csc (y)) d y