derivative sqrt(x^2-5x)

Lösung

ableitung von

x^{2} - 5 x

\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}

in v erse l a pl a ce \frac{5 s}{( s + 7 ) ( s ^{2} + 4 )}

\int_{0}^{2} \frac{30 t ^{2}}{4 + t ^{3}} d t

\int \frac{x ^{3} + x}{x + 1} d x

\int sin (5) (t) cos (4) (t) d t

x \to \infty lim (6 x^{3})