derivative f(x)=(x^3)/(24)+2/x

Lösung

ableitung von

f (x) = \frac{x ^{3}}{24} + \frac{2}{x}

\frac{x ^{2}}{8} - \frac{2}{x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{3}}{24} + \frac{2}{x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{3}}{24}) + \frac{d}{d x} (\frac{2}{x})

\frac{d}{d x} (\frac{x ^{3}}{24}) = \frac{x ^{2}}{8}

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

= \frac{x ^{2}}{8} - \frac{2}{x ^{2}}

\int_{1}^{2} \frac{1}{4 - t ^{2}} d t

t an g e n t - 3 x^{2} + 2 x y + 2 y^{3} = 125, (3, 4)

\frac{d}{d x} y = ln (10 x^{2} - 8)

\frac{d}{d x} (I n x)

t an g e n t f (x) = x^{3} - 2 x^{2} + 1, at x = 1