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Beliebt Rechnen >

derivative sin(9x)+sin^2(9x)

Lösung

ableitung von

sin (9 x) + sin^{2} (9 x)

Lösung

cos (9 x) \cdot 9 + 18 sin (9 x) cos (9 x)

Schritte zur Lösung

\frac{d}{d x} (sin (9 x) + sin^{2} (9 x))

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (sin (9 x)) + \frac{d}{d x} (sin^{2} (9 x))

\frac{d}{d x} (sin (9 x)) = cos (9 x) \cdot 9

\frac{d}{d x} (sin^{2} (9 x)) = 18 sin (9 x) cos (9 x)

= cos (9 x) \cdot 9 + 18 sin (9 x) cos (9 x)

Graph

Beliebte Beispiele

integral of (4x+5)^2

\int (4 x + 5)^{2} d x

limit as x approaches 1/3 of (9x-3)^3

x \to \frac{1}{3} lim ((9 x - 3)^{3})

d/(dt)(1/(sqrt(1-2t)))

\frac{d}{d t} (\frac{1}{1 - 2 t})

integral of 8e^{7x}

\int 8 e^{7 x} d x

limit as x approaches 1 of pixcos(pi)x

x \to 1 lim (π x cos (π) x)