de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

derivative of sqrt(xsin(x))

Lösung

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

Lösung

\frac{sin ( x ) + x cos ( x )}{2 x sin ( x )}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 x sin ( x )} \frac{d}{d x} (x sin (x))

= \frac{1}{2 x sin ( x )} \frac{d}{d x} (x sin (x))

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

= \frac{1}{2 x sin ( x )} (sin (x) + x cos (x))

Vereinfache

\frac{1}{2 x sin ( x )} (sin (x) + x cos (x)) : \frac{sin ( x ) + x cos ( x )}{2 x sin ( x )}

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

Graph

Beliebte Beispiele

integral of (xe^x)/((x+1)^2)

\int \frac{x e ^{x}}{( x + 1 ) ^{2}} d x

derivative of (5x^2-8xe^x)

\frac{d}{d x} ((5 x^{2} - 8 x) e^{x})

x^{''}-0x^'+x=0

x^{^{''}} - 0 x^{^{'}} + x = 0

\int 6 d x

(\partial)/(\partial y)((-y)/(x^2+y^2))

\frac{\partial}{\partial y} (\frac{- y}{x ^{2} + y ^{2}})