Find dydx if y 5 x 1x6 x1Solutiony x115x65 dydx 15x145x6

Find dy/dx if y = 5 (x - 1)/x6, x>1.

y = (x-1)^1/5/x^6/5

dy/dx = [1/5(x-1)^-4/5x^6/5 + 6/5x^1/5(x-1)^1/5]/x^12/5

= 1/5(x-1)^-4/5x^-6/5 + 6/5(x-1)^1/5x^-11/5

Find dy/dx if y = 5 (x - 1)/x6, x>1.Solutiony = (x-1)1/5/x6/5 dy/dx = [1/5(x-1)-4/5x6/5 + 6/5x1/5(x-1)1/5]/x12/5 = 1/5(x-1)-4/5x-6/5 + 6/5(x-1)1/5x-11/5

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