derivative sqrt(-x^2+12x-32)

Lösung

ableitung von

- x^{2} + 12 x - 32

\frac{- x + 6}{- x ^{2} + 12 x - 32}

Schritte zur Lösung

\frac{d}{d x} (- x^{2} + 12 x - 32)

Wende die Kettenregel an:

\frac{1}{2 - x ^{2} + 12 x - 32} \frac{d}{d x} (- x^{2} + 12 x - 32)

= \frac{1}{2 - x ^{2} + 12 x - 32} \frac{d}{d x} (- x^{2} + 12 x - 32)

\frac{d}{d x} (- x^{2} + 12 x - 32) = - 2 x + 12

= \frac{1}{2 - x ^{2} + 12 x - 32} (- 2 x + 12)

Vereinfache

\frac{1}{2 - x ^{2} + 12 x - 32} (- 2 x + 12) : \frac{- x + 6}{- x ^{2} + 12 x - 32}

= \frac{- x + 6}{- x ^{2} + 12 x - 32}

x \to - 2 lim (∣ x - 2 ∣)

\int (4) d x

\frac{d}{d x} \frac{( x ^{2} - 4 ) ^{\frac{3}{2}}}{6}

n = 0 \sum \infty π

x \to \infty lim (1 - \frac{5}{x})