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Beliebt Rechnen >

derivative of 2x-1-1/x

Lösung

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

Lösung

\frac{1}{x ^{2}} + 2

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d}{d x} (1) = 0

\frac{d}{d x} (\frac{1}{x}) = - \frac{1}{x ^{2}}

= 2 - 0 - (- \frac{1}{x ^{2}})

Vereinfache

= \frac{1}{x ^{2}} + 2

Graph

Beliebte Beispiele

integral of 1/((1-x^2)^{1/2)}

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

(\partial)/(\partial x)(e^{-x/y}+ln(y/x))

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

integral of (4x)/(2x^2+3)

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

integral of 7/(x^2+4)

\int \frac{7}{x ^{2} + 4} d x

t^2y^'+y=sin(t)

t^{2} y^{^{'}} + y = sin (t)