derivative f(x)=ln(9sin^2(x))

Lösung

ableitung von

f (x) = ln (9 sin^{2} (x))

2 cot (x)

Schritte zur Lösung

\frac{d}{d x} (ln (9 sin^{2} (x)))

Wende die Kettenregel an:

\frac{1}{9 sin ^{2} ( x )} \frac{d}{d x} (9 sin^{2} (x))

= \frac{1}{9 sin ^{2} ( x )} \frac{d}{d x} (9 sin^{2} (x))

\frac{d}{d x} (9 sin^{2} (x)) = 9 sin (2 x)

= \frac{1}{9 sin ^{2} ( x )} \cdot 9 sin (2 x)

Vereinfache

\frac{1}{9 sin ^{2} ( x )} \cdot 9 sin (2 x) : 2 cot (x)

= 2 cot (x)

\int \frac{3 x - 1}{x ^{2} - 4} d x

l a pl a ce t r an s f or m - 3 (sin (4 (t - \frac{5 π}{4})))

\frac{\partial}{\partial x} (\frac{1}{7 + 5 x})

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\int_{0}^{2} - 4 x^{3} x^{2} + 4 d x