derivative ln(100sin^2(x))

Lösung

ableitung von

ln (100 sin^{2} (x))

2 cot (x)

Schritte zur Lösung

\frac{d}{d x} (ln (100 sin^{2} (x)))

Wende die Kettenregel an:

\frac{1}{100 sin ^{2} ( x )} \frac{d}{d x} (100 sin^{2} (x))

= \frac{1}{100 sin ^{2} ( x )} \frac{d}{d x} (100 sin^{2} (x))

\frac{d}{d x} (100 sin^{2} (x)) = 200 sin (x) cos (x)

= \frac{1}{100 sin ^{2} ( x )} \cdot 200 sin (x) cos (x)

Vereinfache

\frac{1}{100 sin ^{2} ( x )} \cdot 200 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

d er i v a t i v e f (x) = \frac{4 x ^{2} tan ( x )}{sec ( x )}

x \to - 2 lim (- 0.8)

x d y - y d x = (2 x^{2} - 3) d x

t a y l or \frac{3}{x ^{2} - x - 2}

\int_{1}^{3} ln (2 x) d x