derivative y= 1/((x+1)^2)

Lösung

ableitung von

y = \frac{1}{( x + 1 ) ^{2}}

- \frac{2}{( x + 1 ) ^{3}}

Schritte zur Lösung

\frac{d}{d x} (\frac{1}{( x + 1 ) ^{2}})

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

- \frac{2}{( x + 1 ) ^{3}} \frac{d}{d x} (x + 1)

= - \frac{2}{( x + 1 ) ^{3}} \frac{d}{d x} (x + 1)

\frac{d}{d x} (x + 1) = 1

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

Vereinfache

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

\frac{\partial}{\partial x} (\frac{9 x z}{x + y})

\int \frac{x ^{2} - 6 x - 17}{( x - 1 ) ^{2} ( x ^{2} + 1 )} d x

\int_{0}^{3} (9 - x^{2}) d x

\frac{\partial}{\partial x} (3 x y^{2} + 9 x)

f (x) = x \cdot 2 x + 2