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Beliebt Rechnen >

(ln(sin(x)))^'

Lösung

(ln (sin (x)))^{^{'}}

Lösung

cot (x)

Schritte zur Lösung

(ln (sin (x)))^{'}

Wende die Kettenregel an:

\frac{1}{sin ( x )} (sin (x))^{'}

= \frac{1}{sin ( x )} (sin (x))^{'}

(sin (x))^{'} = cos (x)

= \frac{1}{sin ( x )} cos (x)

Vereinfache

\frac{1}{sin ( x )} cos (x) : cot (x)

= cot (x)

Graph

Beliebte Beispiele

integral from 3 to 6 of (3x-x)^2

\int_{3}^{6} (3 x - x)^{2} d x

integral of (x^{20}-5x^4)^3(x^{19}-x^3)

\int (x^{20} - 5 x^{4})^{3} (x^{19} - x^{3}) d x

tangent f(x)= 6/x ,\at x=4

t an g e n t f (x) = \frac{6}{x}, at x = 4

derivative f(x)=cos(a^7+x^7)

d er i v a t i v e f (x) = cos (a^{7} + x^{7})

derivative of (x-5*ln(x/5))

\frac{d}{d x} ((x - 5) \cdot ln (\frac{x}{5}))