derivative 1/(t^4)

Lösung

ableitung von

\frac{1}{t ^{4}}

- \frac{4}{t ^{5}}

Schritte zur Lösung

\frac{d}{d t} (\frac{1}{t ^{4}})

Wende Exponentenregel an:

\frac{1}{a} = a^{- 1}

= \frac{d}{d t} (t^{- 4})

Wende die Potenzregel an:

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

= - 4 t^{- 4 - 1}

Vereinfache

- 4 t^{- 4 - 1} : - \frac{4}{t ^{5}}

= - \frac{4}{t ^{5}}

\frac{\partial}{\partial y} (3 x^{2} - 12 y)

t an g e n t y = (\frac{x + 1}{x - 1})^{2}, (3, 4)

\int_{0}^{1} arcsin (y) d y

t an g e n t f (x) = x^{4} - 25 x^{2} + 144, at x = - 1

t a y l or e^{\frac{x}{5}}