derivative x^2sin(8x)

Lösung

ableitung von

x^{2} sin (8 x)

2 x sin (8 x) + cos (8 x) \cdot 8 x^{2}

Schritte zur Lösung

\frac{d}{d x} (x^{2} sin (8 x))

Wende die Produktregel an:

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

f = x^{2}, g = sin (8 x)

= \frac{d}{d x} (x^{2}) sin (8 x) + \frac{d}{d x} (sin (8 x)) x^{2}

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

\frac{d}{d x} (sin (8 x)) = cos (8 x) \cdot 8

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

y^{^{''}} - 4 y = 0

\int (x^{\frac{3}{2}} + 6)^{8} x d x

\frac{\partial}{\partial x} (10 x y)

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

\frac{d}{d x} (sin (x) sin (y) sin (x + y))