derivative y=cos(sqrt(sin(tan(5x))))

Lösung

ableitung von

y = cos (sin (tan (5 x)))

- \frac{5 sec ^{2} ( 5 x ) cos ( tan ( 5 x ) ) sin ( sin ( tan ( 5 x ) ) )}{2 sin ( tan ( 5 x ) )}

Schritte zur Lösung

\frac{d}{d x} (cos (sin (tan (5 x))))

Wende die Kettenregel an:

- sin (sin (tan (5 x))) \frac{d}{d x} (sin (tan (5 x)))

= - sin (sin (tan (5 x))) \frac{d}{d x} (sin (tan (5 x)))

\frac{d}{d x} (sin (tan (5 x))) = \frac{5 sec ^{2} ( 5 x ) cos ( tan ( 5 x ) )}{2 sin ( tan ( 5 x ) )}

= - sin (sin (tan (5 x))) \frac{5 sec ^{2} ( 5 x ) cos ( tan ( 5 x ) )}{2 sin ( tan ( 5 x ) )}

Multipliziere Brüche:

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

= - \frac{5 sec ^{2} ( 5 x ) cos ( tan ( 5 x ) ) sin ( sin ( tan ( 5 x ) ) )}{2 sin ( tan ( 5 x ) )}

d er i v a t i v e 3^{x^{2} + 1}

\frac{\partial}{\partial x} (x^{a} b^{b})

\int \frac{x}{4 + 9 x ^{2}} d x

t \to 3 lim (\frac{\frac{1}{t} - \frac{1}{3}}{t - 3})

\int 4000 x e^{- 0.2 x} d x