derivative y=\sqrt[9]{x^2}-x^e

Lösung

ableitung von

y = 9 x^{2} - x^{e}

\frac{2 x}{9 ( x ^{2} ) ^{\frac{8}{9}}} - e x^{e - 1}

Schritte zur Lösung

\frac{d}{d x} (9 x^{2} - x^{e})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (9 x^{2}) - \frac{d}{d x} (x^{e})

\frac{d}{d x} (9 x^{2}) = \frac{2 x}{9 ( x ^{2} ) ^{\frac{8}{9}}}

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

= \frac{2 x}{9 ( x ^{2} ) ^{\frac{8}{9}}} - e x^{e - 1}

\frac{d}{d x} (- C x - d)

\frac{\partial}{\partial x} (x^{2} y^{2} e^{6 x y})

\int \frac{3 - 18 x}{16 - 9 x ^{2}} d x

y^{^{''}} + y^{^{'}} - 2 y = e^{- 2 t}

t \to t lim (3 t^{\frac{1}{3}})