derivative f(x)=sqrt(x^2-4x+2)

Lösung

ableitung von

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

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

x \to 1 lim (e^{(x^{3} - x)})

\frac{d}{d x} (e^{π x})

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

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

d x + e^{(3 x)} d y = 0