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Beliebt Rechnen >

derivative sqrt(3x^2+1)

Lösung

ableitung von

3 x^{2} + 1

Lösung

\frac{3 x}{3 x ^{2} + 1}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x^{2} + 1) = 6 x

= \frac{1}{2 3 x ^{2} + 1} \cdot 6 x

Vereinfache

\frac{1}{2 3 x ^{2} + 1} \cdot 6 x : \frac{3 x}{3 x ^{2} + 1}

= \frac{3 x}{3 x ^{2} + 1}

Graph

Beliebte Beispiele

f (x) = x^{\frac{1}{9}}

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

integral of (tan^2(x))/(sec^3(x))

\int \frac{tan ^{2} ( x )}{sec ^{3} ( x )} d x

(t^2+1)(dy)/(dt)=2y

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