derivative of cxcos(2x)

Lösung

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

c (cos (2 x) - 2 x sin (2 x))

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = cos (2 x)

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

\frac{d x}{d x} = 1

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

= c (1 \cdot cos (2 x) + (- sin (2 x) \cdot 2) x)

Vereinfache

= c (cos (2 x) - 2 x sin (2 x))

n = 1 \sum \infty (0.9)^{n}

25 y^{^{''}} - 15 y^{^{'}} - 4 y = 0

d er i v a t i v e f (x) = x^{3} (x^{4} - 1)

\frac{d}{d x} (\frac{- x ^{2} - 4}{( x ^{2} - 4 ) ^{2}})

s l o p e (x^{2} + 4) y = 8