Question

Differentiate y= In ( 2cot²x )

Answer 1

$=\frac{d}{dx}[ln(2cot^2(x))]=\frac{1}{2cot^2(x)}*\frac{d}{dx}[2cot^2(x)]$

$=\frac{2*\frac{d}{dx}[cot^2(x)]}{2cot^2(x)}$

$=\frac{2cot(x)*\frac{d}{dx}cot(x)}{cot^2(x)}$

$=\frac{2(-csc^2(x)}{cot(x)}$

$=-\frac{2csc^2}{cot(x)}$