derivative of ((x^3)/3+1/(4x))

Lösung

\frac{d}{d x} (\frac{( x ^{3} )}{3} + \frac{1}{4 x})

x^{2} - \frac{1}{4 x ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{( x ^{3} )}{3} + \frac{1}{4 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{3}}{3}) + \frac{d}{d x} (\frac{1}{4 x})

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

\frac{d}{d x} (\frac{1}{4 x}) = - \frac{1}{4 x ^{2}}

= x^{2} - \frac{1}{4 x ^{2}}

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

\frac{d}{d y} (ln (\frac{( 2 y + 1 ) ^{4}}{y ^{2} + 1}))

t an g e n t \frac{2}{x - 5}

\int \frac{- 1400 x}{25 - x ^{2}} d x

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