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Beliebt Rechnen >

derivative of 5cos(2x)

Lösung

\frac{d}{d x} (5 cos (2 x))

Lösung

- 10 sin (2 x)

Schritte zur Lösung

\frac{d}{d x} (5 cos (2 x))

Entferne die Konstante:

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

= 5 \frac{d}{d x} (cos (2 x))

Wende die Kettenregel an:

- sin (2 x) \frac{d}{d x} (2 x)

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

\frac{d}{d x} (2 x) = 2

= 5 (- sin (2 x) \cdot 2)

Vereinfache

= - 10 sin (2 x)

Graph

Beliebte Beispiele

limit as x approaches b of (x^2)/2

x \to b lim (\frac{x ^{2}}{2})

(1+ln(x)+y/x)dx=(5-ln(x))dy

(1 + ln (x) + \frac{y}{x}) d x = (5 - ln (x)) d y

integral of (7x^6+8)/(x^7+8x)

\int \frac{7 x ^{6} + 8}{x ^{7} + 8 x} d x

integral from 1 to e^5 of x^5ln(x)

\int_{1}^{e^{5}} x^{5} ln (x) d x

derivative of (2x-1^{-2})

\frac{d}{d x} ((2 x - 1)^{- 2})