derivative \sqrt[5]{x^3}

Lösung

ableitung von

5 x^{3}

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

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{5 ( x ^{3} ) ^{\frac{4}{5}}} \frac{d}{d x} (x^{3})

= \frac{1}{5 ( x ^{3} ) ^{\frac{4}{5}}} \frac{d}{d x} (x^{3})

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

= \frac{1}{5 ( x ^{3} ) ^{\frac{4}{5}}} \cdot 3 x^{2}

Vereinfache

\frac{1}{5 ( x ^{3} ) ^{\frac{4}{5}}} \cdot 3 x^{2} : \frac{3 x ^{2}}{5 ( x ^{3} ) ^{\frac{4}{5}}}

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

t an g e n t f (x) = cos (2 x), at x = \frac{π}{6}

\frac{d}{d t} (t^{2} - 2)

\frac{\partial}{\partial z} (4 x - yz + 3 y z^{2} + z^{2})

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

a re a 3 - x^{2}, 11 - 6 x