derivative x/(3sqrt(x^2+1))-1/8

Lösung

ableitung von

\frac{x}{3 x ^{2} + 1} - \frac{1}{8}

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

Schritte zur Lösung

\frac{d}{d x} (\frac{x}{3 x ^{2} + 1} - \frac{1}{8})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x}{3 x ^{2} + 1}) - \frac{d}{d x} (\frac{1}{8})

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

\frac{d}{d x} (\frac{1}{8}) = 0

= \frac{1}{3 ( x ^{2} + 1 ) x ^{2} + 1} - 0

Vereinfache

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

\frac{\partial}{\partial t} (\frac{t}{2})

\frac{d}{d x} (2 x^{3} - 6)

\frac{d}{d x} (24 x + sin (x))

\frac{d}{d x} (\frac{arccos ( x )}{x ^{2}})

\int_{1}^{2} x^{2} - 3 x + 2 d x