derivative g(w)= 9/(8w^5)+9sqrt(w)

Lösung

ableitung von

g (w) = \frac{9}{8 w ^{5}} + 9 w

\frac{9 ( 4 w ^{\frac{11}{2}} - 5 )}{8 w ^{\frac{11}{2}} w}

Schritte zur Lösung

\frac{d}{d w} (\frac{9}{8 w ^{5}} + 9 w)

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d w} (\frac{9}{8 w ^{5}}) + \frac{d}{d w} (9 w)

\frac{d}{d w} (\frac{9}{8 w ^{5}}) = - \frac{45}{8 w ^{6}}

\frac{d}{d w} (9 w) = \frac{9}{2 w}

= - \frac{45}{8 w ^{6}} + \frac{9}{2 w}

Vereinfache

- \frac{45}{8 w ^{6}} + \frac{9}{2 w} : \frac{9 ( 4 w ^{\frac{11}{2}} - 5 )}{8 w ^{\frac{11}{2}} w}

= \frac{9 ( 4 w ^{\frac{11}{2}} - 5 )}{8 w ^{\frac{11}{2}} w}

\int_{0}^{1} \frac{2}{5} x^{2} (x + 2) d x

\int \frac{1}{e ^{- 4 x}} d x

x \to 2 lim (\frac{x - 5}{x - 2})

x \to 0 lim (\frac{z ^{x} - 1}{x})

x \to 0 lim (x + 4)