derivative \sqrt[9]{x^8}+1

Lösung

ableitung von

9 x^{8} + 1

\frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}}

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d}{d x} (9 x^{8}) = \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}}

\frac{d}{d x} (1) = 0

= \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}} + 0

Vereinfache

= \frac{8 x ^{7}}{9 ( x ^{8} ) ^{\frac{8}{9}}}

\int_{0}^{1} \frac{1}{2 x - 1} d x

\frac{\partial}{\partial x} (sec (θ))

\frac{d}{d x} (\frac{( - 2 x ^{3} - 1 )}{( x ^{3} - 1 ) ^{2}})

h \to 0 lim (\frac{2. 8 ^{h} - 1}{h})

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