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Beliebt Rechnen >

derivative of cos(2x+sin(2x)+1/5 e^x)

Lösung

\frac{d}{d x} (cos (2 x) + sin (2 x) + \frac{1}{5} e^{x})

Lösung

- sin (2 x) \cdot 2 + cos (2 x) \cdot 2 + \frac{1}{5} e^{x}

Schritte zur Lösung

\frac{d}{d x} (cos (2 x) + sin (2 x) + \frac{1}{5} e^{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (cos (2 x)) + \frac{d}{d x} (sin (2 x)) + \frac{d}{d x} (\frac{1}{5} e^{x})

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

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

\frac{d}{d x} (\frac{1}{5} e^{x}) = \frac{1}{5} e^{x}

= - sin (2 x) \cdot 2 + cos (2 x) \cdot 2 + \frac{1}{5} e^{x}

Graph

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4y^{''}+3y^'+7y=0