derivative of ysin(2x)

Lösung

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

\frac{d y}{d x} sin (2 x) + cos (2 x) \cdot 2 y

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = y, g = sin (2 x)

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

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

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

d er i v a t i v e - \frac{1}{6} (x^{- 6} - x^{12})

\int_{0}^{\frac{π}{7}} sin^{4} (7 x) d x

\frac{d}{d x} (arcsin (sin (13 x)))

\frac{d}{d x} (\frac{1}{4 - 3 x})

s im pl i f y - \frac{x}{y}