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Beliebt Rechnen >

derivative of-(x-1^2+3)

Lösung

\frac{d}{d x} (- (x - 1)^{2} + 3)

Lösung

- 2 x + 2

Schritte zur Lösung

\frac{d}{d x} (- (x - 1)^{2} + 3)

Vereinfache

- (x - 1)^{2} + 3 : - x^{2} + 2 x + 2

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

Wende die Summen-/Differenzregel an:

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

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

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

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

\frac{d}{d x} (2) = 0

= - 2 x + 2 + 0

Vereinfache

= - 2 x + 2

Graph

Beliebte Beispiele

derivative of (12x^6-3x^2+x^2/(3x^4))

\frac{d}{d x} (\frac{12 x ^{6} - 3 x ^{2} + x ^{2}}{3 x ^{4}})

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\int x^{\frac{5}{3}} d x

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\int sec^{2} (8 x) d x

(y*e^{-x})(dy)/(dx)=x

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

integral from 0 to pi of sqrt(1+cos(2x))

\int_{0}^{π} 1 + cos (2 x) d x