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Beliebt Rechnen >

derivative of 6+cos(sqrt(3x))

Lösung

\frac{d}{d x} (6 + cos (3 x))

Lösung

- \frac{3 sin ( 3 x )}{2 x}

Schritte zur Lösung

\frac{d}{d x} (6 + cos (3 x))

Vereinfache

6 + cos (3 x) : 6 + cos (3 x)

= \frac{d}{d x} (6 + cos (3 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (6) + \frac{d}{d x} (cos (3 x))

\frac{d}{d x} (6) = 0

\frac{d}{d x} (cos (3 x)) = - \frac{3 sin ( 3 x )}{2 x}

= 0 - \frac{3 sin ( 3 x )}{2 x}

Vereinfache

= - \frac{3 sin ( 3 x )}{2 x}

Graph

Beliebte Beispiele

limit as x approaches 0+of (3^x-1)/(x^2)

x \to 0 + lim (\frac{3 ^{x} - 1}{x ^{2}})

integral of (x^3)/a

\int \frac{x ^{3}}{a} d x

derivative xsqrt(2x^2+7)

d er i v a t i v e x 2 x^{2} + 7

(\partial)/(\partial x)(|x|y+2x)

\frac{\partial}{\partial x} (∣ x ∣ y + 2 x)

integral of (1+x)/x

\int \frac{1 + x}{x} d x