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Beliebt Rechnen >

derivative of arctan(x-x^2)

Lösung

\frac{d}{d x} (arctan (x) - x^{2})

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (arctan (x) - x^{2})

Wende die Summen-/Differenzregel an:

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

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

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

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

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

Graph

Beliebte Beispiele

integral of sin(7x)ln(sin(7x))

\int sin (7 x) ln (sin (7 x)) d x

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

derivative of 2x-1-1/x

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

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}))