derivative of 3sqrt(x-8)

Lösung

\frac{d}{d x} (3 x - 8)

\frac{3}{2 x - 8}

Schritte zur Lösung

\frac{d}{d x} (3 x - 8)

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d x} (x - 8)

Wende die Kettenregel an:

\frac{1}{2 x - 8} \frac{d}{d x} (x - 8)

= \frac{1}{2 x - 8} \frac{d}{d x} (x - 8)

\frac{d}{d x} (x - 8) = 1

= 3 \cdot \frac{1}{2 x - 8} \cdot 1

Vereinfache

3 \cdot \frac{1}{2 x - 8} \cdot 1 : \frac{3}{2 x - 8}

= \frac{3}{2 x - 8}

t an g e n t f (x) = (1 + 3 x)^{10}, at x = 0

x \to 2 lim (x^{2} + 4 x)

\frac{d}{d x} ((2 x - 2)^{3} (3 x - 1)^{2})

x \to 0 + lim (\frac{1 - ln ( x )}{e ^{\frac{1}{x}}})

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