derivative ln(64sin^2(x))

Lösung

ableitung von

ln (64 sin^{2} (x))

2 cot (x)

Schritte zur Lösung

\frac{d}{d x} (ln (64 sin^{2} (x)))

Wende die Kettenregel an:

\frac{1}{64 sin ^{2} ( x )} \frac{d}{d x} (64 sin^{2} (x))

= \frac{1}{64 sin ^{2} ( x )} \frac{d}{d x} (64 sin^{2} (x))

\frac{d}{d x} (64 sin^{2} (x)) = 128 sin (x) cos (x)

= \frac{1}{64 sin ^{2} ( x )} \cdot 128 sin (x) cos (x)

Vereinfache

\frac{1}{64 sin ^{2} ( x )} \cdot 128 sin (x) cos (x) : 2 cot (x)

= 2 cot (x)

\frac{\partial}{\partial x} (\frac{4}{y ^{2}} + x)

\int e^{x} cos (a x) d x

x \to + 4 lim (\frac{2}{( x + 4 ) ^{3}})

x \to 0 - lim (\frac{x}{x})

\frac{d}{d x} (\frac{x ^{2} - 3 x + 2}{x ^{7} - 2})