derivative of 3-(10/(3x^{1/6)})

Lösung

\frac{d}{d x} (3 - \frac{10}{3 x ^{\frac{1}{6}}})

\frac{5}{9 x ^{\frac{7}{6}}}

Schritte zur Lösung

\frac{d}{d x} (3 - \frac{10}{3 x ^{\frac{1}{6}}})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3) - \frac{d}{d x} (\frac{10}{3 x ^{\frac{1}{6}}})

\frac{d}{d x} (3) = 0

\frac{d}{d x} (\frac{10}{3 x ^{\frac{1}{6}}}) = - \frac{5}{9 x ^{\frac{7}{6}}}

= 0 - (- \frac{5}{9 x ^{\frac{7}{6}}})

Vereinfache

= \frac{5}{9 x ^{\frac{7}{6}}}

\int \frac{4}{5} sec (x) tan (x) d x

d er i v a t i v e sin (6 θ)

θ \to 0 lim (\frac{sin ( 5 θ )}{θ + tan ( 7 θ )})

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

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