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Beliebt Rechnen >

derivative sin(x)+4/3 cot(x)

Lösung

ableitung von

sin (x) + \frac{4}{3} cot (x)

Lösung

cos (x) - \frac{4}{3} csc^{2} (x)

Schritte zur Lösung

\frac{d}{d x} (sin (x) + \frac{4}{3} cot (x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (x)) + \frac{d}{d x} (\frac{4}{3} cot (x))

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

\frac{d}{d x} (\frac{4}{3} cot (x)) = - \frac{4}{3} csc^{2} (x)

= cos (x) - \frac{4}{3} csc^{2} (x)

Graph

Beliebte Beispiele

integral of 1/(x^2-7x+12)

\int \frac{1}{x ^{2} - 7 x + 12} d x

xy^2(dy)/(dx)=y^3-3x^3,y(1)=5

x y^{2} \frac{d y}{d x} = y^{3} - 3 x^{3}, y (1) = 5

y^'=0.1*y-250000

y^{^{'}} = 0.1 \cdot y - 250000

integral of 5cos(pix-3)

\int 5 cos (π x - 3) d x

derivative (4x)/(sqrt(x^2+2))

d er i v a t i v e \frac{4 x}{x ^{2} + 2}