derivative of \sqrt[9]{x}-9e^x

Lösung

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

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

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (9 x) = \frac{1}{9 x ^{\frac{8}{9}}}

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

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

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

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

\int 1 - 2 x + x^{2} d x

x \to 0 lim (\frac{ln ( 1 + x )}{x})

t an g e n t f (x) = x^{2} + 9, (5, 34)