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Differentiate tan^(-1) frac((cos x-sin x))((cos x+ sin x)) |
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Answer» SOLUTION :`y = tan^(-1)((cos x- SIN x)/(cos x + sin x)) = tan^(-1)((1-tan x)/(1+tan x) = tan^(-1) tan(pi/2-x) = pi/4-x therefore dy/dx = -1` |
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