derivative of 3sin(x-4sin^3(x))

Lösung

\frac{d}{d x} (3 sin (x) - 4 sin^{3} (x))

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

Schritte zur Lösung

\frac{d}{d x} (3 sin (x) - 4 sin^{3} (x))

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (3 sin (x)) - \frac{d}{d x} (4 sin^{3} (x))

\frac{d}{d x} (3 sin (x)) = 3 cos (x)

\frac{d}{d x} (4 sin^{3} (x)) = 12 sin^{2} (x) cos (x)

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

n = 1 \sum \infty \frac{3}{2 n}

\frac{d}{d x} ((2 x)^{- 3 x})

\frac{d y}{d x} = y (x y^{5} - 1)

\int \frac{1}{( 3 sin ( x ) - 4 cos ( x ) )} d x

\frac{\partial}{\partial x} (3 x^{2} y + 6 x y^{3})