derivative of sqrt(5/(x+1)-x^4)

Lösung

\frac{d}{d x} (\frac{5}{x + 1} - x^{4})

- \frac{5}{2 ( x + 1 ) ^{\frac{3}{2}}} - 4 x^{3}

Schritte zur Lösung

\frac{d}{d x} (\frac{5}{x + 1} - x^{4})

Wende die Summen-/Differenzregel an:

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

= \frac{d}{d x} (\frac{5}{x + 1}) - \frac{d}{d x} (x^{4})

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

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

= - \frac{5}{2 ( x + 1 ) ^{\frac{3}{2}}} - 4 x^{3}

n = 1 \sum \infty n (x - 3)^{n}

\int 6 x sec^{2} (x) d x

x y + 2 x \frac{d y}{d x} = y

x \to 0 + lim (\frac{1}{x} - ln (x))

n = 0 \sum \infty (\frac{x + 9}{2})^{n}