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Beliebt Rechnen >

derivative of ln(sin(x^2))

Lösung

\frac{d}{d x} (ln (sin (x^{2})))

Lösung

2 x cot (x^{2})

Schritte zur Lösung

\frac{d}{d x} (ln (sin (x^{2})))

Wende die Kettenregel an:

\frac{1}{sin ( x ^{2} )} \frac{d}{d x} (sin (x^{2}))

= \frac{1}{sin ( x ^{2} )} \frac{d}{d x} (sin (x^{2}))

\frac{d}{d x} (sin (x^{2})) = cos (x^{2}) \cdot 2 x

= \frac{1}{sin ( x ^{2} )} cos (x^{2}) \cdot 2 x

Vereinfache

\frac{1}{sin ( x ^{2} )} cos (x^{2}) \cdot 2 x : 2 x cot (x^{2})

= 2 x cot (x^{2})

Graph

Beliebte Beispiele

derivative of 1/(f(x^2(x)))

steigung-10x^3+6x^{40}y+y^4=3

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derivative f(x)=(x^3+9)e^x