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The function y =` ln(4*sin^2x)` has to be differentiated. Use the chain rule.
y' = `(1/(4*sin^2x))*4*2*sin x*cos x`
=> y' = `(1/(sin x))*2*cos x`
=> y' = `2*cot x`
The required derivative is y' = 2*cot x
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