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Beliebt Rechnen >

derivative F(x)=sin(7x)+cos(4x)

Lösung

ableitung von

F (x) = sin (7 x) + cos (4 x)

Lösung

cos (7 x) \cdot 7 - sin (4 x) \cdot 4

Schritte zur Lösung

\frac{d}{d x} (sin (7 x) + cos (4 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (7 x)) + \frac{d}{d x} (cos (4 x))

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

\frac{d}{d x} (cos (4 x)) = - sin (4 x) \cdot 4

= cos (7 x) \cdot 7 - sin (4 x) \cdot 4

Graph

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