(\partial)/(\partial x)(-0.1cos(6x))

Lösung

\frac{\partial}{\partial x} (- 0.1 \cdot cos (6 \cdot x))

0.6 sin (6 x)

Schritte zur Lösung

\frac{\partial}{\partial x} (- 0.1 cos (6 x))

Entferne die Konstante:

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

= - 0.1 \frac{\partial}{\partial x} (cos (6 x))

Wende die Kettenregel an:

- sin (6 x) \frac{\partial}{\partial x} (6 x)

= - sin (6 x) \frac{\partial}{\partial x} (6 x)

\frac{\partial}{\partial x} (6 x) = 6

= - 0.1 (- sin (6 x) \cdot 6)

Vereinfache

= 0.6 sin (6 x)

x \to 0 lim (\frac{- 11 x ^{2} + 9 x}{x})

\int x sin (3 + 3 x) d x

\int (\frac{1}{5} x^{5} + \frac{1}{3} x^{4} - x) d x

x \to 0 lim ((1 - 2 x)^{(\frac{1}{x})})

\frac{d}{d x} (ln (10 x^{2} - 8))