derivative of \sqrt[3]{cos(x})

Lösung

\frac{d}{d x} (3 cos (x))

- \frac{sin ( x )}{3 cos ^{\frac{2}{3}} ( x )}

Schritte zur Lösung

\frac{d}{d x} (3 cos (x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (cos (x)) = - sin (x)

= \frac{1}{3 ( cos ( x ) ) ^{\frac{2}{3}}} (- sin (x))

Vereinfache

\frac{1}{3 cos ^{\frac{2}{3}} ( x )} (- sin (x)) : - \frac{sin ( x )}{3 cos ^{\frac{2}{3}} ( x )}

= - \frac{sin ( x )}{3 cos ^{\frac{2}{3}} ( x )}

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

x \to - 5 lim (\frac{3}{x + 5})

\int \frac{1}{- 2 y} d y

d er i v a t i v e y = 3 sin (\frac{x π}{90})

\int 3 x e^{5 x^{2}} d x