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Differentiate the following functions with respect to x .

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(i) y = x2/3 + 7e – 5 x + 7 tan x

⇒ dy/dx = 2/3x-1/3+ 5/x2 +7 sec2x

(iv) y = sinx-  xcosx/ xsinx +cos x

 dy/dx=  2 (x sin+ x cos x) (cos x -cos x+ x sin x)- (sin x- xcos x) (sin x+ xcos x- sin x)

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