derivative 4/(x-4)+(27)/(2x+2)

Lösung

ableitung von

\frac{4}{x - 4} + \frac{27}{2 x + 2}

\frac{- 35 x ^{2} + 200 x - 440}{2 ( x - 4 ) ^{2} ( x + 1 ) ^{2}}

Schritte zur Lösung

\frac{d}{d x} (\frac{4}{x - 4} + \frac{27}{2 x + 2})

Wende die Summen-/Differenzregel an:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (\frac{4}{x - 4}) + \frac{d}{d x} (\frac{27}{2 x + 2})

\frac{d}{d x} (\frac{4}{x - 4}) = - \frac{4}{( x - 4 ) ^{2}}

\frac{d}{d x} (\frac{27}{2 x + 2}) = - \frac{27}{2 ( x + 1 ) ^{2}}

= - \frac{4}{( x - 4 ) ^{2}} - \frac{27}{2 ( x + 1 ) ^{2}}

Vereinfache

- \frac{4}{( x - 4 ) ^{2}} - \frac{27}{2 ( x + 1 ) ^{2}} : \frac{- 35 x ^{2} + 200 x - 440}{2 ( x - 4 ) ^{2} ( x + 1 ) ^{2}}

= \frac{- 35 x ^{2} + 200 x - 440}{2 ( x - 4 ) ^{2} ( x + 1 ) ^{2}}

x^{^{'}} - x = 0

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

a re a 10 - 7 x, x^{2} - 20, x = 0

\int (3 x + 2) 3 3 x^{2} + 4 x d x

\frac{d}{d x} (ln (x^{y}))