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Differentiate the following function with respect to x :

(tan x)1/x

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Best answer

Let y = (tan x)\(\frac{1}{\text x}\)

Taking log both the sides:

⇒ log y =  log(tan x)\(\frac{1}{\text x}\)

⇒ log y =\(\frac{1}{\text x}\)log tan x {log xa = a log x}

Differentiating with respect to x:

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