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Beliebt Rechnen >

derivative cos^3(12x)

Lösung

ableitung von

cos^{3} (12 x)

Lösung

- 36 cos^{2} (12 x) sin (12 x)

Schritte zur Lösung

\frac{d}{d x} (cos^{3} (12 x))

Wende die Kettenregel an:

3 (cos (12 x))^{2} \frac{d}{d x} (cos (12 x))

= 3 (cos (12 x))^{2} \frac{d}{d x} (cos (12 x))

\frac{d}{d x} (cos (12 x)) = - sin (12 x) \cdot 12

= 3 (cos (12 x))^{2} (- sin (12 x) \cdot 12)

Vereinfache

= - 36 cos^{2} (12 x) sin (12 x)

Graph

Beliebte Beispiele

normal y=sqrt(3x^2+2x),(2,4)

n or ma l y = 3 x^{2} + 2 x, (2, 4)

integral of sin^2(xco)s^2x

\int sin^{2} (x co) s^{2} x d x

y^{''}-6y^'+9y=0,y(0)=6,y^'(0)=0

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 6, y^{^{'}} (0) = 0

f(x)=(sin(x))/(2+cos(x))

f (x) = \frac{sin ( x )}{2 + cos ( x )}

limit as x approaches 0 of sqrt(x^2+1)

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