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Beliebt Rechnen >

(cos^3(t))^'

Lösung

(cos^{3} (t))^{^{'}}

Lösung

- 3 cos^{2} (t) sin (t)

Schritte zur Lösung

(cos^{3} (t))^{'}

Wende die Kettenregel an:

3 (cos (t))^{2} (cos (t))^{'}

= 3 (cos (t))^{2} (cos (t))^{'}

(cos (t))^{'} = - sin (t)

= 3 (cos (t))^{2} (- sin (t))

Vereinfache

= - 3 cos^{2} (t) sin (t)

Graph

Beliebte Beispiele

derivative of sin(1000x)

\frac{d}{d x} (sin (1000 x))

integral of 3/(2x^2+x-10)

\int \frac{3}{2 x ^{2} + x - 10} d x

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\int x (x^{2} + 1)^{6} d x

(\partial)/(\partial x)((86)/(2+x^2+y^2))

\frac{\partial}{\partial x} (\frac{86}{2 + x ^{2} + y ^{2}})

derivative of (2x-2^4(x^2+x+1)^5)

\frac{d}{d x} ((2 x - 2)^{4} (x^{2} + x + 1)^{5})