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Beliebt Rechnen >

derivative of cot(sqrt(x))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x) = \frac{1}{2 x}

= - csc^{2} (x) \frac{1}{2 x}

Vereinfache

- csc^{2} (x) \frac{1}{2 x} : - \frac{csc ^{2} ( x )}{2 x}

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

Graph

Beliebte Beispiele

derivative y=(e^x)/(x+e^x)

d er i v a t i v e y = \frac{e ^{x}}{x + e ^{x}}

d/(d{x)}({x}^2+2{y}^2+{z}^2-6{x}+3{y}-2{z}+5)

\frac{d}{d x} (x^{2} + 2 y^{2} + z^{2} - 6 x + 3 y - 2 z + 5)

y^{''}-6y^'+0y=0

y^{^{''}} - 6 y^{^{'}} + 0 y = 0

integral of 5/(e^x+2)

\int \frac{5}{e ^{x} + 2} d x

(dy)/(dx)+3xy^3=0

\frac{d y}{d x} + 3 x y^{3} = 0