derivative of arccsc(3x)

Lösung

\frac{d}{d x} (arccsc (3 x))

- \frac{1}{x 9 x ^{2} - 1}

Schritte zur Lösung

\frac{d}{d x} (arccsc (3 x))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (3 x) = 3

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

Vereinfache

- \frac{1}{( 3 x ) ^{2} ( 3 x ) ^{2} - 1} \cdot 3 : - \frac{1}{x 9 x ^{2} - 1}

= - \frac{1}{x 9 x ^{2} - 1}

\int (tan (5 x) + csc^{3} (3 θ)) d θ

\int (sec^{2} (x) + 1) d x

l a pl a ce t r an s f or m F (x) = e^{2 x} cos (2 x)

\int \frac{2 x ^{2}}{3} d x

\int sin (12 x) 3 cos (12 x) d x