derivative of (x+6^{2/3})

Lösung

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

\frac{2}{3 ( x + 6 ) ^{\frac{1}{3}}}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{2}{3 ( x + 6 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 6)

= \frac{2}{3 ( x + 6 ) ^{\frac{1}{3}}} \frac{d}{d x} (x + 6)

\frac{d}{d x} (x + 6) = 1

= \frac{2}{3 ( x + 6 ) ^{\frac{1}{3}}} \cdot 1

Vereinfache

= \frac{2}{3 ( x + 6 ) ^{\frac{1}{3}}}

y^{^{''}} + 25 y = 0.5 sin (5 t), y (0) = 0, y^{^{'}} (0) = 0

x \to 3 lim (3 - x)

d er i v a t i v e \frac{( 4 + h ) ^{2} - 16}{h}

h \to 0 lim (\frac{1 - cos ( 2 h )}{h})

t a y l or x e^{- x + 1}, 1