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Beliebt Rechnen >

derivative-ln(sin(t))

Lösung

ableitung von

- ln (sin (t))

Lösung

- cot (t)

Schritte zur Lösung

\frac{d}{d t} (- ln (sin (t)))

Entferne die Konstante:

(a \cdot f)^{'} = a \cdot f^{'}

= - \frac{d}{d t} (ln (sin (t)))

Wende die Kettenregel an:

\frac{1}{sin ( t )} \frac{d}{d t} (sin (t))

= \frac{1}{sin ( t )} \frac{d}{d t} (sin (t))

\frac{d}{d t} (sin (t)) = cos (t)

= - \frac{1}{sin ( t )} cos (t)

Vereinfache

- \frac{1}{sin ( t )} cos (t) : - cot (t)

= - cot (t)

Graph

Beliebte Beispiele

integral of (x+5)/((x^2+5)^3)

\int \frac{x + 5}{( x ^{2} + 5 ) ^{3}} d x

(\partial)/(\partial x)(x^6y-3x^5y^2)

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(\partial)/(\partial x)(x(3-2x-y))

\frac{\partial}{\partial x} (x (3 - 2 x - y))

derivative of \sqrt[4]{1-x^2}

\frac{d}{d x} (4 1 - x^{2})

integral of e^x+5

\int e^{x} + 5 d x