derivative of arctan(sqrt(x-3))

Lösung

\frac{d}{d x} (arctan (x - 3))

\frac{1}{2 ( x - 2 ) x - 3}

Schritte zur Lösung

\frac{d}{d x} (arctan (x - 3))

Wende die Kettenregel an:

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

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

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

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

Vereinfache

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

= \frac{1}{2 ( x - 2 ) x - 3}

d er i v a t i v e (2 q^{2} - 3)^{6} (5 q + 4)^{3}

in v erse l a pl a ce \frac{2}{s \cdot ( s ^{2} + 4 s + 8 )}

(2 y + 2 t - 3) d t + (4 y + 2 t - 1) d y = 0

x \to 5 lim (x^{2} + 2 x - 3)

d er i v a t i v e f (x) = ln (4 x + 7)