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Beliebt Rechnen >

derivative of sin(ln(cos(x)))

Lösung

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

Lösung

- cos (ln (cos (x))) tan (x)

Schritte zur Lösung

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

Wende die Kettenregel an:

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

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

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

= cos (ln (cos (x))) (- tan (x))

Vereinfache

= - cos (ln (cos (x))) tan (x)

Graph

Beliebte Beispiele

derivative of (5x^2-9x+13/(2x+4))

\frac{d}{d x} (\frac{5 x ^{2} - 9 x + 13}{2 x + 4})

limit as x approaches 6 of (6+x)/x

x \to 6 lim (\frac{6 + x}{x})

integral of (2x^3-1)/(x+x^4)

\int \frac{2 x ^{3} - 1}{x + x ^{4}} d x

derivative f(x)=tan^2(x^3)

d er i v a t i v e f (x) = tan^{2} (x^{3})

integral of ln(21t)

\int ln (21 t) d t