derivative of 4/(x^7-e^{-8x})

Lösung

\frac{d}{d x} (\frac{4}{x ^{7}} - e^{- 8 x})

- \frac{28}{x ^{8}} + 8 e^{- 8 x}

Schritte zur Lösung

\frac{d}{d x} (\frac{4}{x ^{7}} - e^{- 8 x})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{4}{x ^{7}}) - \frac{d}{d x} (e^{- 8 x})

\frac{d}{d x} (\frac{4}{x ^{7}}) = - \frac{28}{x ^{8}}

\frac{d}{d x} (e^{- 8 x}) = - 8 e^{- 8 x}

= - \frac{28}{x ^{8}} - (- 8 e^{- 8 x})

Vereinfache

= - \frac{28}{x ^{8}} + 8 e^{- 8 x}

\int \frac{x}{( x + 1 ) ( x + 2 )} d x

\frac{\partial}{\partial x} (1.015 E (m, x) b h^{3} m^{- 1} L^{- 4})

\frac{d}{d x} (cot^{4} (x) - csc^{4} (x))

d er i v a t i v e y = 2^{2 x}

d er i v a t i v e y = e^{in (x^{2} + 1)}