derivative x^9sin(x)

Lösung

ableitung von

x^{9} sin (x)

9 x^{8} sin (x) + cos (x) x^{9}

Schritte zur Lösung

\frac{d}{d x} (x^{9} sin (x))

Wende die Produktregel an:

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

f = x^{9}, g = sin (x)

= \frac{d}{d x} (x^{9}) sin (x) + \frac{d}{d x} (sin (x)) x^{9}

\frac{d}{d x} (x^{9}) = 9 x^{8}

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

= 9 x^{8} sin (x) + cos (x) x^{9}

d er i v a t i v e (x - 5) (5 x + 3)

d er i v a t i v e x^{- 4}

\int_{2}^{4} \frac{6}{2 x - 9} d x

x \to 8 lim (x + 2)

t an g e n t f (x) = ln (x^{3} - 7), at x = 2