derivative x^{(2)}sin(x)

Lösung

ableitung von

x^{(2)} sin (x)

2 x sin (x) + cos (x) x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} sin (x))

Wende die Produktregel an:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{2}, g = sin (x)

= \frac{d}{d x} (x^{2}) sin (x) + \frac{d}{d x} (sin (x)) x^{2}

\frac{d}{d x} (x^{2}) = 2 x

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

= 2 x sin (x) + cos (x) x^{2}

\int_{0}^{\frac{π}{2}} sin^{3} (3 x) d x

t an g e n t (2 x - 1)^{2} ln (2 x - 1)

\frac{d y}{d x} = y (1 - y), y (0) = 2

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

\frac{\partial}{\partial x} (- 4 y (- 2 x - y - 3))