derivative of sqrt((x-8^3))

Lösung

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

\frac{3 x - 8}{2}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 ( x - 8 ) ^{3}} \frac{d}{d x} ((x - 8)^{3})

= \frac{1}{2 ( x - 8 ) ^{3}} \frac{d}{d x} ((x - 8)^{3})

\frac{d}{d x} ((x - 8)^{3}) = 3 (x - 8)^{2}

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

Vereinfache

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

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

x \to 0 + lim ([x - sin (x)])

x \to 1 + lim ((x - 1)^{l n (x)})

\frac{d}{d x} (arccos (arcsin (t)))

\frac{d}{d s} (\frac{3 s ^{3} + 19 s ^{2} + 41 s + 26}{( s + 1 )})

\frac{\partial}{\partial x} (x sin (\frac{8}{x}))