derivative of 2x+7+(450/x)

Lösung

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

- \frac{450}{x ^{2}} + 2

Schritte zur Lösung

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (7) + \frac{d}{d x} (\frac{450}{x})

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

\frac{d}{d x} (7) = 0

\frac{d}{d x} (\frac{450}{x}) = - \frac{450}{x ^{2}}

= 2 + 0 - \frac{450}{x ^{2}}

Vereinfache

= - \frac{450}{x ^{2}} + 2

d er i v a t i v e f (x) = \frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

y^{^{''}} + y = 0, y (\frac{π}{3}) = 0, y^{^{'}} (\frac{π}{3}) = 6

\int \frac{x + 1}{x ^{2}} d x

\int \frac{1}{x ^{2} + 5 x + 6} d x

\frac{d}{d x} ((x^{2} + 2) (x^{3} + 1))