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Beliebt Rechnen >

derivative of sqrt(4cos(2x))

Lösung

\frac{d}{d x} (4 cos (2 x))

Lösung

- 2 sin (2 x) sec (2 x)

Schritte zur Lösung

\frac{d}{d x} (4 cos (2 x))

Wende die Kettenregel an:

\frac{1}{2 4 cos ( 2 x )} \frac{d}{d x} (4 cos (2 x))

= \frac{1}{2 4 cos ( 2 x )} \frac{d}{d x} (4 cos (2 x))

\frac{d}{d x} (4 cos (2 x)) = - 8 sin (2 x)

= \frac{1}{2 4 cos ( 2 x )} (- 8 sin (2 x))

Vereinfache

\frac{1}{2 4 cos ( 2 x )} (- 8 sin (2 x)) : - 2 sin (2 x) sec (2 x)

= - 2 sin (2 x) sec (2 x)

Graph

Beliebte Beispiele

derivative of x^2(x-y^2)=x^2-y^2

\frac{d}{d x} (x^{2} (x - y)^{2}) = x^{2} - y^{2}

derivative of (2-x^{1/2})

\frac{d}{d x} ((2 - x)^{\frac{1}{2}})

integral of xcos(3x)

\int x cos (3 x) d x

d/(dt)({v}(t)e^{0.1t})

\frac{d}{d t} (v (t) e^{0.1 t})

integral of x^8

\int x^{8} d x