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

Lösung

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

\frac{csc ( 2 x ) cos ( ln ( tan ( x ) ) )}{ln ( tan ( x ) )}

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

\frac{d}{d x} (ln (tan (x))) = \frac{csc ( 2 x )}{ln ( tan ( x ) )}

= cos (ln (tan (x))) \frac{csc ( 2 x )}{ln ( tan ( x ) )}

Multipliziere Brüche:

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

= \frac{csc ( 2 x ) cos ( ln ( tan ( x ) ) )}{ln ( tan ( x ) )}

\int 6 t d t

d er i v a t i v e y = (x + \frac{1}{x}) (x - \frac{1}{x})

\frac{d}{d x} (\frac{cos ( x ^{3} )}{e ^{x}})

f (x) = x^{2} - 4

d er i v a t i v e x^{3} - x