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Beliebt Rechnen >

derivative of sin(x+5/6 cot(x))

Lösung

\frac{d}{d x} (sin (x) + \frac{5}{6} cot (x))

Lösung

cos (x) - \frac{5}{6} csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + \frac{5}{6} cot (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{5}{6} cot (x))

\frac{d}{d x} (sin (x)) = cos (x)

\frac{d}{d x} (\frac{5}{6} cot (x)) = - \frac{5}{6} csc^{2} (x)

= cos (x) - \frac{5}{6} csc^{2} (x)

Graph

Beliebte Beispiele

integral from-8 to 0 of (4-9x)^{-0.5}

\int_{- 8}^{0} (4 - 9 x)^{- 0.5} d x

fläche (x-1)^3,(x-1)

a re a (x - 1)^{3}, (x - 1)

(\partial)/(\partial x)(1/2 ln(x^2d))

\frac{\partial}{\partial x} (\frac{1}{2} ln (x^{2} d))

derivative of sqrt(csc(x))

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

integral of 15cos(15x)

\int 15 cos (15 x) d x