derivative cos(sqrt(sin(tan(3x))))

Lösung

ableitung von

cos (sin (tan (3 x)))

- \frac{3 sec ^{2} ( 3 x ) cos ( tan ( 3 x ) ) sin ( sin ( tan ( 3 x ) ) )}{2 sin ( tan ( 3 x ) )}

Schritte zur Lösung

\frac{d}{d x} (cos (sin (tan (3 x))))

Wende die Kettenregel an:

- sin (sin (tan (3 x))) \frac{d}{d x} (sin (tan (3 x)))

= - sin (sin (tan (3 x))) \frac{d}{d x} (sin (tan (3 x)))

\frac{d}{d x} (sin (tan (3 x))) = \frac{3 sec ^{2} ( 3 x ) cos ( tan ( 3 x ) )}{2 sin ( tan ( 3 x ) )}

= - sin (sin (tan (3 x))) \frac{3 sec ^{2} ( 3 x ) cos ( tan ( 3 x ) )}{2 sin ( tan ( 3 x ) )}

Multipliziere Brüche:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= - \frac{3 sec ^{2} ( 3 x ) cos ( tan ( 3 x ) ) sin ( sin ( tan ( 3 x ) ) )}{2 sin ( tan ( 3 x ) )}

x \to 0 lim ((e x - 1) cot (2 x))

\int \frac{x + 17}{x ^{2} + 16 x + 68} d x

\int \frac{( 4 x + 13 )}{( x ^{2} + 3 x - 10 )} d x

t an g e n t 6 x^{2}, at x = 10

\int x^{2} - 4 x + 2 d x