derivative x^2sin(4x)

Lösung

ableitung von

x^{2} sin (4 x)

2 x sin (4 x) + cos (4 x) \cdot 4 x^{2}

Schritte zur Lösung

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

Wende die Produktregel an:

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

f = x^{2}, g = sin (4 x)

= \frac{d}{d x} (x^{2}) sin (4 x) + \frac{d}{d x} (sin (4 x)) x^{2}

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

\frac{d}{d x} (sin (4 x)) = cos (4 x) \cdot 4

= 2 x sin (4 x) + cos (4 x) \cdot 4 x^{2}

\frac{\partial}{\partial x} (6 x^{5} y^{6} + 8 x^{7} y^{8})

x \to 0 lim (\frac{cos ( 2 x )}{sin ( 2 x )})

f (x) = - 2 cos (2 x)

n = 1 \sum \infty n e^{- 2 n}

\int 6 x^{2} 3 x d x