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Beliebt Rechnen >

derivative of 3cos(x+3xsin(x))

Lösung

\frac{d}{d x} (3 cos (x) + 3 x sin (x))

Lösung

3 x cos (x)

Schritte zur Lösung

\frac{d}{d x} (3 cos (x) + 3 x sin (x))

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (3 cos (x)) = - 3 sin (x)

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

= - 3 sin (x) + 3 (sin (x) + x cos (x))

Vereinfache

- 3 sin (x) + 3 (sin (x) + x cos (x)) : 3 x cos (x)

= 3 x cos (x)

Graph

Beliebte Beispiele

steigung (6,-4),(3,1)

s l o p e (6, - 4), (3, 1)

(\partial)/(\partial y)(y^2+xy+3y+2x+3)

\frac{\partial}{\partial y} (y^{2} + x y + 3 y + 2 x + 3)

tangent f(x)=6tan(x)

t an g e n t f (x) = 6 tan (x)

limit as x approaches 2 of 1/((x-2)^2)

x \to 2 lim (\frac{1}{( x - 2 ) ^{2}})

derivative w(z)=6z^2e^z

d er i v a t i v e w (z) = 6 z^{2} e^{z}