derivative y=\sqrt[9]{x}

Lösung

ableitung von

y = 9 x

\frac{1}{9 x ^{\frac{8}{9}}}

Schritte zur Lösung

\frac{d}{d x} (9 x)

Wende Radikal Regel an:

n a = a^{\frac{1}{n}}

= \frac{d}{d x} (x^{\frac{1}{9}})

Wende die Potenzregel an:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= \frac{1}{9} x^{\frac{1}{9} - 1}

Vereinfache

\frac{1}{9} x^{\frac{1}{9} - 1} : \frac{1}{9 x ^{\frac{8}{9}}}

= \frac{1}{9 x ^{\frac{8}{9}}}

\frac{\partial}{\partial z} (5 x^{2} - 3 x y^{2} + x yz)

\int (x^{e} + 10 e^{x}) d x

l a pl a ce t r an s f or m t sin (5 t)

\int \frac{9 sin ( x )}{cos ^{3} ( x )} d x

x \to 1 lim (x^{\frac{2}{( 1 - x )}})