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Beliebt Rechnen >

derivative of sqrt(x^2+17)

Lösung

\frac{d}{d x} (x^{2} + 17)

Lösung

\frac{x}{x ^{2} + 17}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 17)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} + 17} \frac{d}{d x} (x^{2} + 17)

= \frac{1}{2 x ^{2} + 17} \frac{d}{d x} (x^{2} + 17)

\frac{d}{d x} (x^{2} + 17) = 2 x

= \frac{1}{2 x ^{2} + 17} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} + 17} \cdot 2 x : \frac{x}{x ^{2} + 17}

= \frac{x}{x ^{2} + 17}

Graph

Beliebte Beispiele

derivative of 2ln(x+3)

\frac{d}{d x} (2 ln (x) + 3)

integral of (x^{20}-5x^4)^5(x^{19}-x^3)

\int (x^{20} - 5 x^{4})^{5} (x^{19} - x^{3}) d x

integral of (3x+27)/((2x-2)(x+5))

\int \frac{3 x + 27}{( 2 x - 2 ) ( x + 5 )} d x

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d er i v a t i v e u^{\frac{3}{2}} (u + c e^{u})