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Beliebt Rechnen >

derivative of sqrt(x^2+\sqrt{2x)}

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

Graph

Beliebte Beispiele

(y-xy^2)dx+xdy=0

(y - x y^{2}) d x + x d y = 0

sum from n=1 to infinity of 1/(n^2+n)

n = 1 \sum \infty \frac{1}{n ^{2} + n}

derivative of 3x-3

\frac{d}{d x} (3 x - 3)

f(x)=(10)/(x^9)

f (x) = \frac{10}{x ^{9}}

f(x)=xe-(x^2)/8

f (x) = x e - \frac{x ^{2}}{8}