derivative of 1/((x-5^2))

Lösung

\frac{d}{d x} (\frac{1}{( x - 5 ) ^{2}})

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

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( x - 5 ) ^{2}})

Wende Exponentenregel an:

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

= \frac{d}{d x} ((x - 5)^{- 2})

Wende die Kettenregel an:

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

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

\frac{d}{d x} (x - 5) = 1

= - \frac{2}{( x - 5 ) ^{3}} \cdot 1

Vereinfache

= - \frac{2}{( x - 5 ) ^{3}}

\int (t e^{t} i - 4 e^{- 2 t} j + 8 t e^{t^{2}} k) d t

s l o p e (90, 62536), (950, 9000)

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

11 x y^{^{'}} + y = 132 x

\int e^{- x} + 2 d x