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Beliebt Rechnen >

derivative of 6cos^3(x)

Lösung

\frac{d}{d x} (6 cos^{3} (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (6 cos^{3} (x))

Entferne die Konstante:

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

= 6 \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)

= 6 \cdot 3 (cos (x))^{2} (- sin (x))

Vereinfache

= - 18 cos^{2} (x) sin (x)

Graph

Beliebte Beispiele

integral of 11+5e^{6-3x}-16

\int 11 + 5 e^{6 - 3 x} - 16 d x

derivative of x(49-x^2^{1/2})

\frac{d}{d x} (x (49 - x^{2})^{\frac{1}{2}})

integral of (sin(x)cos(x))/(4+sin^4(x))

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

derivative of (x+2/3)

\frac{d}{d x} (\frac{x + 2}{3})

limit as x approaches 0 of (tan(pix))/x

x \to 0 lim (\frac{tan ( π x )}{x})