d/(da)(sin(a)-sin(6a)+sin(5a))

Lösung

\frac{d}{d a} (sin (a) - sin (6 a) + sin (5 a))

cos (a) - cos (6 a) \cdot 6 + cos (5 a) \cdot 5

Schritte zur Lösung

\frac{d}{d a} (sin (a) - sin (6 a) + sin (5 a))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d a} (sin (a)) - \frac{d}{d a} (sin (6 a)) + \frac{d}{d a} (sin (5 a))

\frac{d}{d a} (sin (a)) = cos (a)

\frac{d}{d a} (sin (6 a)) = cos (6 a) \cdot 6

\frac{d}{d a} (sin (5 a)) = cos (5 a) \cdot 5

= cos (a) - cos (6 a) \cdot 6 + cos (5 a) \cdot 5

x \to 0 lim (e^{- 4 x})

y^{^{'}} = \frac{1.5 - 0.8 y}{0.5 + 0.8 x}

\frac{d}{d x} (arcsin (4 x^{4}))

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

n = 1 \sum \infty a r^{n - 1}