derivative of (x^2-16/(x+4))

Lösung

\frac{d}{d x} (\frac{x ^{2} - 16}{x + 4})

1

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} - 16}{x + 4})

Vereinfache

\frac{x ^{2} - 16}{x + 4} : x - 4

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

Wende die Summen-/Differenzregel an:

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

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

\frac{d x}{d x} = 1

\frac{d}{d x} (4) = 0

= 1 - 0

Vereinfache

= 1

d er i v a t i v e (x^{2} + 3) (x^{2} - 3) x^{2}

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

\frac{\partial}{\partial x} (- \frac{1}{x - y})

\frac{\partial}{\partial x} (4 x^{3} y^{3} + 1)

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