derivative of 10cos^3(x)

Lösung

\frac{d}{d x} (10 cos^{3} (x))

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

Schritte zur Lösung

\frac{d}{d x} (10 cos^{3} (x))

Entferne die Konstante:

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

= 10 \frac{d}{d x} (cos^{3} (x))

Wende die Kettenregel an:

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

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

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

= 10 \cdot 3 (cos (x))^{2} (- sin (x))

Vereinfache

= - 30 cos^{2} (x) sin (x)

d er i v a t i v e f (x) = sin (x) + \frac{3}{4} cot (x)

\frac{d}{d x} ((1 + \frac{7}{x})^{5})

x \to - 3 lim (5 x^{2} + 2 x)

\int \frac{1 + x}{1 - 3 x} d x

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