derivative of 8cos^4(x)

Lösung

\frac{d}{d x} (8 cos^{4} (x))

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

Schritte zur Lösung

\frac{d}{d x} (8 cos^{4} (x))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= 8 \frac{d}{d x} (cos^{4} (x))

Wende die Kettenregel an:

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

= 4 (cos (x))^{3} \frac{d}{d x} (cos (x))

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

= 8 \cdot 4 (cos (x))^{3} (- sin (x))

Vereinfache

= - 32 cos^{3} (x) sin (x)

x \to - 1 lim (f (x))

p a r i t y 1. 1^{x} + 9^{x} d x

d er i v a t i v e \frac{40}{x ^{9}}

x \to - 1 lim (\frac{x ^{3}}{x ^{2} + 1})

\frac{\partial}{\partial x} (u e^{2 x})