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Beliebt Rechnen >

derivative of cot(6x-x^2)

Lösung

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

Lösung

- csc^{2} (6 x - x^{2}) (6 - 2 x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= - csc^{2} (6 x - x^{2}) (6 - 2 x)

Graph

Beliebte Beispiele

derivative x*sin(1/x)

d er i v a t i v e x \cdot sin (\frac{1}{x})

fläche y=x^3-11x^2+30x,y=-x^3+11x^2-30x

a re a y = x^{3} - 11 x^{2} + 30 x, y = - x^{3} + 11 x^{2} - 30 x

derivative f(x)=3-e^{-x}

d er i v a t i v e f (x) = 3 - e^{- x}

derivative of \sqrt[3]{7x}

\frac{d}{d x} (3 7 x)

derivative ln(sqrt(x))

d er i v a t i v e ln (x)