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Beliebt Rechnen >

d/(dt)(3sin^3(t))

Lösung

\frac{d}{d t} (3 sin^{3} (t))

Lösung

9 sin^{2} (t) cos (t)

Schritte zur Lösung

\frac{d}{d t} (3 sin^{3} (t))

Entferne die Konstante:

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

= 3 \frac{d}{d t} (sin^{3} (t))

Wende die Kettenregel an:

3 (sin (t))^{2} \frac{d}{d t} (sin (t))

= 3 (sin (t))^{2} \frac{d}{d t} (sin (t))

\frac{d}{d t} (sin (t)) = cos (t)

= 3 \cdot 3 (sin (t))^{2} cos (t)

Vereinfache

= 9 sin^{2} (t) cos (t)

Graph

Beliebte Beispiele

7 \frac{d y}{d x} = y^{2}

tangent f(x)=3x^3-x^2+4,(1,6)

t an g e n t f (x) = 3 x^{3} - x^{2} + 4, (1, 6)

derivative of-6/5 e^{-20x}

\frac{d}{d x} (- \frac{6}{5} e^{- 20 x})

integral of e^{3x}-sin(x)+7/(1+x^2)

\int e^{3 x} - sin (x) + \frac{7}{1 + x ^{2}} d x

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

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