derivative 3/(2x^2)+2\sqrt[5]{x^3}

Lösung

ableitung von

\frac{3}{2 x ^{2}} + 2 5 x^{3}

- \frac{3}{x ^{3}} + \frac{6 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

Schritte zur Lösung

\frac{d}{d x} (\frac{3}{2 x ^{2}} + 2 5 x^{3})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{3}{2 x ^{2}}) + \frac{d}{d x} (2 5 x^{3})

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

\frac{d}{d x} (2 5 x^{3}) = \frac{6 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

= - \frac{3}{x ^{3}} + \frac{6 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 4)

t an g e n t f (x) = 4 x^{3} - 42 x^{2} + 146 x + 48

\frac{d}{d t} (4 sin (2 t))

\int \frac{3 x}{( x ^{2} + 5 ) ^{2}} d x

\frac{d}{d x} (\frac{11 - 11 x}{7 x ^{\frac{3}{7}}})