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Beliebt Rechnen >

derivative of 2sin(x+sin(2x))

Lösung

\frac{d}{d x} (2 sin (x) + sin (2 x))

Lösung

2 cos (x) + cos (2 x) \cdot 2

Schritte zur Lösung

\frac{d}{d x} (2 sin (x) + sin (2 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 sin (x)) + \frac{d}{d x} (sin (2 x))

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

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

= 2 cos (x) + cos (2 x) \cdot 2

Graph

Beliebte Beispiele

integral of (15)/(15+e^x)

\int \frac{15}{15 + e ^{x}} d x

integral from 0 to 100 of 1/(sqrt(x))

\int_{0}^{100} \frac{1}{x} d x

integral from 0 to 1 of 2x

\int_{0}^{1} 2 x d x

derivative y=4^{x+1}

d er i v a t i v e y = 4^{x + 1}

6*y^{''}+2*y^'=0,y^'(0)=4

6 \cdot y^{^{''}} + 2 \cdot y^{^{'}} = 0, y^{^{'}} (0) = 4