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Beliebt Rechnen >

derivative of k(x-a^2+b)

Lösung

\frac{d}{d x} (k (x - a)^{2} + b)

Lösung

2 k (x - a)

Schritte zur Lösung

\frac{d}{d x} (k (x - a)^{2} + b)

Wende die Summen-/Differenzregel an:

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

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

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

\frac{d b}{d x} = 0

= 2 k (x - a) + 0

Vereinfache

= 2 k (x - a)

Graph

Beliebte Beispiele

derivative-tan^2(x)

d er i v a t i v e - tan^{2} (x)

derivative (2x+3)^5

d er i v a t i v e (2 x + 3)^{5}

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d er i v a t i v e (a + 2 x)^{7 x}

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d er i v a t i v e \frac{1 - t ^{4}}{4}

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d er i v a t i v e \frac{1}{2 ^{x}}