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Beliebt Rechnen >

derivative of ln(4sin^2(x))

Lösung

\frac{d}{d x} (ln (4 sin^{2} (x)))

Lösung

2 cot (x)

Schritte zur Lösung

\frac{d}{d x} (ln (4 sin^{2} (x)))

Wende die Kettenregel an:

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

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

\frac{d}{d x} (4 sin^{2} (x)) = 4 sin (2 x)

= \frac{1}{4 sin ^{2} ( x )} \cdot 4 sin (2 x)

Vereinfache

\frac{1}{4 sin ^{2} ( x )} \cdot 4 sin (2 x) : 2 cot (x)

= 2 cot (x)

Graph

Beliebte Beispiele

derivative of 3^x-2^x

\frac{d}{d x} (3^{x} - 2^{x})

derivative of xsqrt(6-x^2)

\frac{d}{d x} (x 6 - x^{2})

integral of-sqrt(2)sin(t)

\int - 2 sin (t) d t

sum from n=2 to infinity of 7/(2^n)

n = 2 \sum \infty \frac{7}{2 ^{n}}

integral from 0 to 1 of (32)/(x^2-64)

\int_{0}^{1} \frac{32}{x ^{2} - 64} d x