derivative y= 1/(y^2)

Lösung

ableitung von

y = \frac{1}{y ^{2}}

- \frac{2}{y ^{3}}

Schritte zur Lösung

\frac{d}{d y} (\frac{1}{y ^{2}})

Wende Exponentenregel an:

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

= \frac{d}{d y} (y^{- 2})

Wende die Potenzregel an:

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

= - 2 y^{- 2 - 1}

Vereinfache

- 2 y^{- 2 - 1} : - \frac{2}{y ^{3}}

= - \frac{2}{y ^{3}}

\frac{\partial}{\partial x} (r sin (θ))

\int_{- 6}^{6} \frac{( 36 - x ^{2} )}{2} d x

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

a re a f (x) = x^{2} - 4, y = 0, x = - 4, x = 3

t an g e n t y = x^{2} - 6, (4, 10)