derivative of x^8sin(x)

Lösung

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

8 x^{7} sin (x) + cos (x) x^{8}

Schritte zur Lösung

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

Wende die Produktregel an:

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

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

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

\frac{d}{d x} (x^{8}) = 8 x^{7}

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

= 8 x^{7} sin (x) + cos (x) x^{8}

\frac{\partial}{\partial x} (\frac{x ^{4}}{y})

\frac{\partial}{\partial y} (6 + x ln (x y - 5))

\int 3 sin^{3} (x) cos^{7} (x) d x

a re a x = 16 - y^{2}, x = y^{2} - 16

n = 6 \sum \infty \frac{3 n}{12 n}