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Beliebt Rechnen >

derivative of 9cos^2(x)

Lösung

\frac{d}{d x} (9 cos^{2} (x))

Lösung

- 18 cos (x) sin (x)

Schritte zur Lösung

\frac{d}{d x} (9 cos^{2} (x))

Entferne die Konstante:

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

= 9 \frac{d}{d x} (cos^{2} (x))

Wende die Kettenregel an:

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

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

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

= 9 \cdot 2 cos (x) (- sin (x))

Vereinfache

= - 18 cos (x) sin (x)

Graph

Beliebte Beispiele

limit as x approaches-1+of x+4

x \to - 1 + lim (x + 4)

integral of-tan(y)

\int - tan (y) d y

t y^{^{'}} = t + y

integral of 1/(sqrt((4+x^2)))

\int \frac{1}{( 4 + x ^{2} )} d x

(dy)/(dt)+3y=13sin(2t),y(0)=6

\frac{d y}{d t} + 3 y = 13 sin (2 t), y (0) = 6