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Beliebt Rechnen >

(\partial)/(\partial x)(x-cos(x))

Lösung

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

Lösung

1 + sin (x)

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{\partial}{\partial x} (x) = 1

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

= 1 - (- sin (x))

Vereinfache

= 1 + sin (x)

Beliebte Beispiele

y^{^{'}} = y x

limit as x approaches 0 of+(x^3+3)/x

x \to 0 lim (+ \frac{x ^{3} + 3}{x})

derivative of ln(3-x^2)

\frac{d}{d x} (ln (3 - x^{2}))

derivative of sqrt(24+x^2)

\frac{d}{d x} (24 + x^{2})

derivative of e^{(-1/x})

\frac{d}{d x} (e^{\frac{- 1}{x}})