derivative of (x^5/6+1/(10x^3))

Lösung

\frac{d}{d x} (\frac{x ^{5}}{6} + \frac{1}{10 x ^{3}})

\frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}}

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{5}}{6} + \frac{1}{10 x ^{3}})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{x ^{5}}{6}) + \frac{d}{d x} (\frac{1}{10 x ^{3}})

\frac{d}{d x} (\frac{x ^{5}}{6}) = \frac{5 x ^{4}}{6}

\frac{d}{d x} (\frac{1}{10 x ^{3}}) = - \frac{3}{10 x ^{4}}

= \frac{5 x ^{4}}{6} - \frac{3}{10 x ^{4}}

d er i v a t i v e f (x) = \frac{2 - 3 x - x ^{2}}{x ^{2} - 4}

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

y^{^{''}} + 4 y^{^{'}} = 2 x - 3 e^{x}

\int 5 cos^{3} (x) d x

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