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What is the differentiation of log sin x ?

Solution :

We have, y = log sin x

By using chain rule in differentiation,

Let u = sin x dudx = cos x

And, y = log u dydu = 1u 

Now, dydx = dydu × dudx

dydx = 1u × cos x

dydx = 1sinx × cos x = cot x

Hence, the differentiation of log sin x with respect to x is cot x.


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