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Beliebt Rechnen >

derivative of sin(yx)

Lösung

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

Lösung

cos (y x) (x \frac{d y}{d x} + y)

Schritte zur Lösung

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

Wende die Kettenregel an:

cos (y x) \frac{d}{d x} (y x)

= cos (y x) \frac{d}{d x} (y x)

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

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

Beliebte Beispiele

\frac{d}{d t} (1 + t^{2})

integral from 0 to 1 of (1-x)

\int_{0}^{1} (1 - x) d x

integral of (4x^2)/(\sqrt[3]{3+5x)}

\int \frac{4 x ^{2}}{3 3 + 5 x} d x

derivative of 5x^2+4sin(x)

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

sum from n=0 to infinity of (n/(n+2))^n

n = 0 \sum \infty (\frac{n}{n + 2})^{n}