If f x = cos - 1 ⁡ 1 - log ⁡ x 2 1 + log ⁡ x 2 , then f ' e = ________

Question

If f x = cos - 1 ⁡ 1 - log ⁡ x 2 1 + log ⁡ x 2 , then f ' e = ________, 1 e, 2 e 2, 2 e, 1

MARKS App · Accepted Answer

Given f x = c o s - 1 1 - l o g x 2 1 + l o g x 2 f x = 2 t a n - 1 l o g x f ' x = 2 1 + l o g x 2 1 x f ' ( e ) = + 2 1 + 1 1 e = 1 e Note: lnx is better option in place of log x

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