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Beliebt Rechnen >

(\partial)/(\partial x)(ln(sin(x)))

Lösung

\frac{\partial}{\partial x} (ln (sin (x)))

Lösung

cot (x)

Schritte zur Lösung

\frac{\partial}{\partial x} (ln (sin (x)))

Wende die Kettenregel an:

\frac{1}{sin ( x )} \frac{\partial}{\partial x} (sin (x))

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

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

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

Vereinfache

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

= cot (x)

Beliebte Beispiele

integral of x^2(x^3+1)^3

\int x^{2} (x^{3} + 1)^{3} d x

integral of (x^2+x)e^{-2x}

\int (x^{2} + x) e^{- 2 x} d x

(dy)/(dx)=(x^2-y^2)/(xy),y(2)=2

\frac{d y}{d x} = \frac{x ^{2} - y ^{2}}{x y}, y (2) = 2

fläche 4x,x^2-5

a re a 4 x, x^{2} - 5

integral of sex(x)

\int se x (x)