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Beliebt Rechnen >

d/(dq)((1+csc(q))cos(q))

Lösung

\frac{d}{d q} ((1 + csc (q)) cos (q))

Lösung

- sin (q) - csc^{2} (q)

Schritte zur Lösung

\frac{d}{d q} ((1 + csc (q)) cos (q))

Vereinfache

(1 + csc (q)) cos (q) : cos (q) + cot (q)

= \frac{d}{d q} (cos (q) + cot (q))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d q} (cos (q)) + \frac{d}{d q} (cot (q))

\frac{d}{d q} (cos (q)) = - sin (q)

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

= - sin (q) - csc^{2} (q)

Graph

Beliebte Beispiele

derivative (sin(x))/2

d er i v a t i v e \frac{sin ( x )}{2}

derivative ln(x^3(2x-5)^4)

d er i v a t i v e ln (x^{3} (2 x - 5)^{4})

derivative y=x(4x-3)

d er i v a t i v e y = x (4 x - 3)

derivative (-cos(x))/(sin^2(x))

d er i v a t i v e \frac{- cos ( x )}{sin ^{2} ( x )}

derivative (log_{10}(x^3+4))^5

d er i v a t i v e (lo g_{10} (x^{3} + 4))^{5}