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Beliebt Rechnen >

derivative 2sin(4pi(x+1/8))

Lösung

ableitung von

2 sin (4 π (x + \frac{1}{8}))

Lösung

8 π cos (4 π (x + \frac{1}{8}))

Schritte zur Lösung

\frac{d}{d x} (2 sin (4 π (x + \frac{1}{8})))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 2 \frac{d}{d x} (sin (4 π (x + \frac{1}{8})))

Wende die Kettenregel an:

cos (4 π (x + \frac{1}{8})) \frac{d}{d x} (4 π (x + \frac{1}{8}))

= cos (4 π (x + \frac{1}{8})) \frac{d}{d x} (4 π (x + \frac{1}{8}))

\frac{d}{d x} (4 π (x + \frac{1}{8})) = 4 π

= 2 cos (4 π (x + \frac{1}{8})) \cdot 4 π

Vereinfache

= 8 π cos (4 π (x + \frac{1}{8}))

Graph

Beliebte Beispiele

integral of (x+1)/(sqrt(x-1))

\int \frac{x + 1}{x - 1} d x

limit as x approaches-1 of 8x^3

x \to - 1 lim (8 x^{3})

fläche 4x^2,x^4-6x^2,[-3,3]

a re a 4 x^{2}, x^{4} - 6 x^{2}, [- 3, 3]

limit as x approaches 0 of (sin(pi+x))/x

x \to 0 lim (\frac{sin ( π + x )}{x})

fläche y=12,y=2x^2-11x+12

a re a y = 12, y = 2 x^{2} - 11 x + 12