derivative of 3/((3-x^2))

Lösung

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

\frac{6}{( 3 - x ) ^{3}}

Schritte zur Lösung

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

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

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

Wende Exponentenregel an:

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

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

Wende die Kettenregel an:

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

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

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

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

Vereinfache

3 (- \frac{2}{( 3 - x ) ^{3}} (- 1)) : \frac{6}{( 3 - x ) ^{3}}

= \frac{6}{( 3 - x ) ^{3}}

\int_{0}^{9} π (x)^{2} d x

f (x) = 2^{(2 - x^{4})}

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

t an g e n t f (x) = \frac{7}{x}, at x = 2

\int_{1}^{18} \frac{3}{z} d z