derivative of sin(tan(sqrt(sin(x))))

Lösung

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

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

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

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

Multipliziere Brüche:

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

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

t an g e n t y = 1 - 4 x

\int tan (3) (x) sec (7) (x) d x

\frac{d}{d x} (\frac{x}{1 + ( 1.5574 + 5.43 x ^{2} ) ^{2}})

\int x^{5} e^{- 3 x} d x

n = 1 \sum \infty \frac{n !}{10 2 ^{n}}