derivative f(x)=sqrt(x^2+4)

Lösung

ableitung von

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

\frac{x}{x ^{2} + 4}

Schritte zur Lösung

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

Wende die Kettenregel an:

\frac{1}{2 x ^{2} + 4} \frac{d}{d x} (x^{2} + 4)

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

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

= \frac{1}{2 x ^{2} + 4} \cdot 2 x

Vereinfache

\frac{1}{2 x ^{2} + 4} \cdot 2 x : \frac{x}{x ^{2} + 4}

= \frac{x}{x ^{2} + 4}

\int_{- 1}^{0} \frac{1}{1 - x ^{2}} d x

t an g e n t f (x) = \frac{1}{2 x}, at x = 25

d er i v a t i v e - \frac{6 x}{x ^{2} + 1}

\frac{d}{d x} (ln ((arcsin (x))^{2}))

d er i v a t i v e \frac{140000}{x}