derivative f(x)=x^2sin(x)

Lösung

ableitung von

f (x) = 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}

\frac{d}{d x} (- x^{3} + 9 x^{2} - 6 x + 9)

d er i v a t i v e \frac{8}{64 + 64 t ^{2}}

\frac{d y}{d x} = 2 cos (x) (y + 1), y (\frac{π}{6}) = 2

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

n = 0 \sum \infty 9 (\frac{3}{4})^{n}