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Beliebt Rechnen >

(\partial)/(\partial x)((x-a)^{-1})

Lösung

\frac{\partial}{\partial x} ((x - a)^{- 1})

Lösung

- \frac{1}{( x - a ) ^{2}}

Schritte zur Lösung

\frac{\partial}{\partial x} ((x - a)^{- 1})

Wende die Kettenregel an:

- \frac{1}{( x - a ) ^{2}} \frac{\partial}{\partial x} (x - a)

= - \frac{1}{( x - a ) ^{2}} \frac{\partial}{\partial x} (x - a)

\frac{\partial}{\partial x} (x - a) = 1

= - \frac{1}{( x - a ) ^{2}} \cdot 1

Vereinfache

= - \frac{1}{( x - a ) ^{2}}

Beliebte Beispiele

integral of (x^2)/(sqrt(2x-x^2))

\int \frac{x ^{2}}{2 x - x ^{2}} d x

integral of 4sin(wt)e^t

\int 4 sin (wt) e^{t} d t

tangent y=(7x^2-6x+3)(1+2x),\at x=1

t an g e n t y = (7 x^{2} - 6 x + 3) (1 + 2 x), at x = 1

integral of 1/4

\int \frac{1}{4} d x

derivative of (3/4 ^{-4/3})

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