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Beliebt Rechnen >

d/(dy)(1/(y^3))

Lösung

\frac{d}{d y} (\frac{1}{y ^{3}})

Lösung

- \frac{3}{y ^{4}}

Schritte zur Lösung

\frac{d}{d y} (\frac{1}{y ^{3}})

Wende Exponentenregel an:

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

= \frac{d}{d y} (y^{- 3})

Wende die Potenzregel an:

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

= - 3 y^{- 3 - 1}

Vereinfache

- 3 y^{- 3 - 1} : - \frac{3}{y ^{4}}

= - \frac{3}{y ^{4}}

Graph

Beliebte Beispiele

(\partial)/(\partial x)(2x^2+5y^2-xy)

\frac{\partial}{\partial x} (2 x^{2} + 5 y^{2} - x y)

integral from x to x^2 of e^{t^2}

\int_{x}^{x^{2}} e^{t^{2}} d t

derivative tan^4(x^3)

d er i v a t i v e tan^{4} (x^{3})

fläche f(x)=x^2,x=5

a re a f (x) = x^{2}, x = 5

f(x)=(sin(x))/(1+2cos(x))

f (x) = \frac{sin ( x )}{1 + 2 cos ( x )}