derivative (x^2-49)/(x+7)

Lösung

ableitung von

\frac{x ^{2} - 49}{x + 7}

1

Schritte zur Lösung

\frac{d}{d x} (\frac{x ^{2} - 49}{x + 7})

Vereinfache

\frac{x ^{2} - 49}{x + 7} : x - 7

= \frac{d}{d x} (x - 7)

Wende die Summen-/Differenzregel an:

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

= \frac{d x}{d x} - \frac{d}{d x} (7)

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

\frac{d}{d x} (7) = 0

= 1 - 0

Vereinfache

= 1

\int \frac{3 x}{9 - 25 x ^{4}} d x

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

\frac{d}{d x} (5 x^{2} cos (7 x))

f^{^{''}} (x) = x^{3} - 4 x + 1, f^{^{'}} (0) = 2, f (1) = - 2

x \to 2 lim (x^{2} - 5 x + 6 x^{2} - 4)