derivative of 3cos(4x)

Lösung

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

- 12 sin (4 x)

Schritte zur Lösung

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

Entferne die Konstante:

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

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

Wende die Kettenregel an:

- sin (4 x) \frac{d}{d x} (4 x)

= - sin (4 x) \frac{d}{d x} (4 x)

\frac{d}{d x} (4 x) = 4

= 3 (- sin (4 x) \cdot 4)

Vereinfache

= - 12 sin (4 x)

\frac{\partial}{\partial t} (4 e^{s i n (x + 3 c t)})

x \to - 5 lim (\frac{2}{( x + 5 ) ^{4}})

\int 1024 sin^{4} (x) cos^{4} (x) d x

\frac{\partial}{\partial z} (e^{x y z^{2} + z})

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