derivative of sqrt(2x^2-x)

Lösung

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

\frac{4 x - 1}{2 2 x ^{2} - x}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (2 x^{2} - x) = 4 x - 1

= \frac{1}{2 2 x ^{2} - x} (4 x - 1)

Vereinfache

\frac{1}{2 2 x ^{2} - x} (4 x - 1) : \frac{4 x - 1}{2 2 x ^{2} - x}

= \frac{4 x - 1}{2 2 x ^{2} - x}

in v erse l a pl a ce \frac{2 s + 16}{s ^{2} + 4 s + 13}

- 18 x^{2} y^{^{''}} + 4 x (x + 9) y^{^{'}} - 4 (x + 9) y = - 4 x^{3}

x \to 9 lim (x)

\int \frac{x}{25 + x ^{2}} d x

x \to 4 lim (e^{4} + 4)