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If `y = sqrt((1 + tan x)/(1 - tan x)) " then " (dy)/(dx)=` ?A. `(1)/(2) sec^(2)x.tan (x + (pi)/(4))`B. `(sec^(2) (x + (pi)/(4)))/(2 sqrt(tan (x + (pi)/(4))))`C. `(sec^(2) ((x)/(4)))/(sqrt(tan (x + (pi)/(4))))`D. none of these |
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Answer» Correct Answer - B `y = {tan (x + (pi)/(4))}^((1)/(2)) rArr (dy)/(dx) = (1)/(2) {tan (x + (pi)/(4))}^(-(1)/(2)).sec^(2) (x + (pi)/(4))` |
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