derivative of arctan(6x)

Lösung

\frac{d}{d x} (arctan (6 x))

\frac{6}{36 x ^{2} + 1}

Schritte zur Lösung

\frac{d}{d x} (arctan (6 x))

Wende die Kettenregel an:

\frac{1}{( 6 x ) ^{2} + 1} \frac{d}{d x} (6 x)

= \frac{1}{( 6 x ) ^{2} + 1} \frac{d}{d x} (6 x)

\frac{d}{d x} (6 x) = 6

= \frac{1}{( 6 x ) ^{2} + 1} \cdot 6

Vereinfache

\frac{1}{( 6 x ) ^{2} + 1} \cdot 6 : \frac{6}{36 x ^{2} + 1}

= \frac{6}{36 x ^{2} + 1}

\int_{0}^{π} (8 e^{x} + 5 sin (x)) d x

\int_{1}^{2} 4 r^{4} ln (r) d r

t an g e n t y = 2 x + 1

y^{^{'}} + \frac{3}{x} y = 0, y (1) = 5

d er i v a t i v e f (x) = e^{x} 1 + x^{2}