derivative 1500x+3000(3x+3)^{-1}-1000

Lösung

ableitung von

1500 x + 3000 (3 x + 3)^{- 1} - 1000

- \frac{1000}{( x + 1 ) ^{2}} + 1500

Schritte zur Lösung

\frac{d}{d x} (1500 x + 3000 (3 x + 3)^{- 1} - 1000)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (1500 x) + \frac{d}{d x} (3000 (3 x + 3)^{- 1}) - \frac{d}{d x} (1000)

\frac{d}{d x} (1500 x) = 1500

\frac{d}{d x} (3000 (3 x + 3)^{- 1}) = - \frac{1000}{( x + 1 ) ^{2}}

\frac{d}{d x} (1000) = 0

= 1500 - \frac{1000}{( x + 1 ) ^{2}} - 0

Vereinfache

= - \frac{1000}{( x + 1 ) ^{2}} + 1500

a re a x^{\frac{2}{7}}, 1, x = 0

d er i v a t i v e 8 x y

\int_{0}^{4} f (x) d x

(x - 2) y^{^{'}} + y = 3 x^{2} + 2 x

n = 0 \sum \infty \frac{1}{( 2 n + 1 ) ^{4}}