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Beliebt Rechnen >

derivative of sqrt(x^2+5x)

Lösung

\frac{d}{d x} (x^{2} + 5 x)

Lösung

\frac{2 x + 5}{2 x ^{2} + 5 x}

Schritte zur Lösung

\frac{d}{d x} (x^{2} + 5 x)

Wende die Kettenregel an:

\frac{1}{2 x ^{2} + 5 x} \frac{d}{d x} (x^{2} + 5 x)

= \frac{1}{2 x ^{2} + 5 x} \frac{d}{d x} (x^{2} + 5 x)

\frac{d}{d x} (x^{2} + 5 x) = 2 x + 5

= \frac{1}{2 x ^{2} + 5 x} (2 x + 5)

Vereinfache

\frac{1}{2 x ^{2} + 5 x} (2 x + 5) : \frac{2 x + 5}{2 x ^{2} + 5 x}

= \frac{2 x + 5}{2 x ^{2} + 5 x}

Graph

Beliebte Beispiele

integral of (1+sqrt(x^2+1))/((x^2+1)^{3/2)}

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

derivative of sqrt(5x-2)

\frac{d}{d x} (5 x - 2)

limit as x approaches infinity of (2)^x

x \to \infty lim ((2)^{x})

(dy)/(dx)-4y=2xy^2

\frac{d y}{d x} - 4 y = 2 x y^{2}

f (x) = x^{2} - 4 x - 4