(\partial)/(\partial x)(cos^3(x))

Lösung

\frac{\partial}{\partial x} (cos^{3} (x))

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

Schritte zur Lösung

\frac{\partial}{\partial x} (cos^{3} (x))

Wende die Kettenregel an:

3 (cos (x))^{2} \frac{\partial}{\partial x} (cos (x))

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

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

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

Vereinfache

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

\frac{\partial}{\partial y} (\frac{4 x}{3 y ^{2} + 1})

x \to 2 lim (3 + x)

\frac{d}{d x} (\frac{e ^{x}}{7 x ^{2}})

a re a sin (x), 5 x, \frac{π}{2}, π

x \to - 2 lim (x + 3)