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Beliebt Rechnen >

derivative of x+cot(x)

Lösung

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

Lösung

- cot^{2} (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

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

= 1 - csc^{2} (x)

Verwende die Pythagoreische Identität:

csc^{2} (x) = 1 + cot^{2} (x)

csc^{2} (x) - 1 = cot^{2} (x)

= - cot^{2} (x)

Graph

Beliebte Beispiele

integral of ((ln(z))^5)/z

\int \frac{( ln ( z ) ) ^{5}}{z} d z

derivative sqrt(x)+5/(sqrt(x))

d er i v a t i v e x + \frac{5}{x}

integral of (x^2-1)^2(3x^2)

\int (x^{2} - 1)^{2} (3 x^{2}) d x

(dx)/(dy)=e^{3x+2y}

\frac{d x}{d y} = e^{3 x + 2 y}

limit as x approaches 3 of 0/(x-3)

x \to 3 lim (\frac{0}{x - 3})