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Beliebt Rechnen >

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

Lösung

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

Lösung

- cos (x)

Schritte zur Lösung

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

Behandle

y

als Konstante

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

\frac{\partial}{\partial x} (2 y) = 0

\frac{\partial}{\partial x} (sin (x)) = cos (x)

= 0 - cos (x)

Vereinfache

= - cos (x)

Beliebte Beispiele

derivative of 2/5 x^{15}

\frac{d}{d x} (\frac{2}{5} x^{15})

laplacetransform t^2cos(2t+30)

l a pl a ce t r an s f or m t^{2} cos (2 t + 3 0^{\circ})

derivative f(x)=5xsin(pix)

d er i v a t i v e f (x) = 5 x sin (π x)

y^{''}-2y^'+y=e^xtan^{-1}(x)

y^{^{''}} - 2 y^{^{'}} + y = e^{x} tan^{- 1} (x)

limit as x approaches-2 of [f(x)+g(x)]

x \to - 2 lim ([f (x) + g (x)])