derivative x^9-10x^5+2x^2-10

Lösung

ableitung von

x^{9} - 10 x^{5} + 2 x^{2} - 10

9 x^{8} - 50 x^{4} + 4 x

Schritte zur Lösung

\frac{d}{d x} (x^{9} - 10 x^{5} + 2 x^{2} - 10)

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (x^{9}) - \frac{d}{d x} (10 x^{5}) + \frac{d}{d x} (2 x^{2}) - \frac{d}{d x} (10)

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

\frac{d}{d x} (10 x^{5}) = 50 x^{4}

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

\frac{d}{d x} (10) = 0

= 9 x^{8} - 50 x^{4} + 4 x - 0

Vereinfache

= 9 x^{8} - 50 x^{4} + 4 x

d er i v a t i v e \frac{y}{( x - y ) 2}

\frac{d}{d x} (3 ∣ sin (x) x ∣ - 4 ∣ cos (x) ∣)

d er i v a t i v e \frac{a}{( a - t ) ^{2}}

d er i v a t i v e cos (6 x + 2)

d er i v a t i v e \frac{1}{p}