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Beliebt Rechnen >

(\partial)/(\partial x)(1/2 sin(2x-y))

Lösung

\frac{\partial}{\partial x} (\frac{1}{2} sin (2 x - y))

Lösung

cos (2 x - y)

Schritte zur Lösung

\frac{\partial}{\partial x} (\frac{1}{2} sin (2 x - y))

Behandle

y

als Konstante

Entferne die Konstante:

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

= \frac{1}{2} \frac{\partial}{\partial x} (sin (2 x - y))

Wende die Kettenregel an:

cos (2 x - y) \frac{\partial}{\partial x} (2 x - y)

= cos (2 x - y) \frac{\partial}{\partial x} (2 x - y)

\frac{\partial}{\partial x} (2 x - y) = 2

= \frac{1}{2} cos (2 x - y) \cdot 2

Vereinfache

\frac{1}{2} cos (2 x - y) \cdot 2 : cos (2 x - y)

= cos (2 x - y)

Beliebte Beispiele

(\partial)/(\partial x)((x^3b^4)/(c^2d^4))

\frac{\partial}{\partial x} (\frac{x ^{3} b ^{4}}{c ^{2} d ^{4}})

fläche y=4x,x=0,y=4

a re a y = 4 x, x = 0, y = 4

(dy)/(dx)=((y-xy))/(x^2)

\frac{d y}{d x} = \frac{( y - x y )}{x ^{2}}

limit as x approaches 0 of 4-x

x \to 0 lim (4 - x)

derivative of-2sqrt(9x^2+8)

\frac{d}{d x} (- 2 9 x^{2} + 8)