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Beliebt Rechnen >

derivative of 8cos^3(x)

Lösung

\frac{d}{d x} (8 cos^{3} (x))

Lösung

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

Schritte zur Lösung

\frac{d}{d x} (8 cos^{3} (x))

Entferne die Konstante:

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

= 8 \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)

= 8 \cdot 3 (cos (x))^{2} (- sin (x))

Vereinfache

= - 24 cos^{2} (x) sin (x)

Graph

Beliebte Beispiele

(\partial)/(\partial x)(1/(sin(x^2-y^2)))

\frac{\partial}{\partial x} (\frac{1}{sin ( x ^{2} - y ^{2} )})

y^{^{''}} + a = 0

f^{^{'}} (x) = x^{4}

s

s

(\partial)/(\partial y)(xe^{6y})

\frac{\partial}{\partial y} (x e^{6 y})