derivative of cot(6sqrt(-x))

Lösung

\frac{d}{d x} (cot (6 - x))

\frac{3 csc ^{2} ( 6 - x )}{- x}

Schritte zur Lösung

\frac{d}{d x} (cot (6 - x))

Wende die Kettenregel an:

- csc^{2} (6 - x) \frac{d}{d x} (6 - x)

= - csc^{2} (6 - x) \frac{d}{d x} (6 - x)

\frac{d}{d x} (6 - x) = - \frac{3}{- x}

= - csc^{2} (6 - x) (- \frac{3}{- x})

Vereinfache

- csc^{2} (6 - x) (- \frac{3}{- x}) : \frac{3 csc ^{2} ( 6 - x )}{- x}

= \frac{3 csc ^{2} ( 6 - x )}{- x}

\frac{d}{d x} (\frac{sin ( x ) sec ( x )}{1 + x tan ( x )})

x \to 3 lim (2 3 - x)

\frac{\partial}{\partial x} ((e^{x} + e^{y})^{7})

\frac{\partial}{\partial x} (x ln (z^{3} + x^{3}))

\int 9 1 + e^{x} d x