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Beliebt Rechnen >

(\partial)/(\partial y)(1/(y^2))

Lösung

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

Lösung

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

Schritte zur Lösung

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

Wende Exponentenregel an:

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

= \frac{\partial}{\partial 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}}

Beliebte Beispiele

derivative x^{-3}

d er i v a t i v e x^{- 3}

integral of 4/(x^2+4)

\int \frac{4}{x ^{2} + 4} d x

integral of ((csc^2(x))/(cot^3(x)))

\int (\frac{csc ^{2} ( x )}{cot ^{3} ( x )}) d x

(dQ)/(dt)=k(Q-70)

\frac{d Q}{d t} = k (Q - 70)

derivative of-3/2 x^3+2/5 x^2-4

\frac{d}{d x} (- \frac{3}{2} x^{3} + \frac{2}{5} x^{2} - 4)