derivative f(x)=4-x^2

Lösung

ableitung von

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

- 2 x

Schritte zur Lösung

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

Wende die Summen-/Differenzregel an:

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

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

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

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

= 0 - 2 x

Vereinfache

= - 2 x

x \to - 2 lim (\frac{x ^{2} - 1}{2 - x})

t an g e n t y = x, (25, 5)

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

\frac{d}{d x} (\frac{1}{π} c x^{2} + ln (cos^{3} (x)))

\int_{1}^{9} \frac{1}{6 - x} d x