derivative ln(x^2+3)

Lösung

ableitung von

ln (x^{2} + 3)

\frac{2 x}{x ^{2} + 3}

Schritte zur Lösung

\frac{d}{d x} (ln (x^{2} + 3))

Wende die Kettenregel an:

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

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

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

= \frac{1}{x ^{2} + 3} \cdot 2 x

Vereinfache

\frac{1}{x ^{2} + 3} \cdot 2 x : \frac{2 x}{x ^{2} + 3}

= \frac{2 x}{x ^{2} + 3}

in v erse l a pl a ce \frac{s + 4}{( s + 1 ) ^{2}}

in v erse l a pl a ce \frac{( - 2 )}{( 6 s + s ^{2} )}

y d x = 2 (x + y) d y

(x + y) d x + (x + 2 y) d y = 0, y (2) = 3

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