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Find the derivative of ((x)^(5/2)(x-3)^(...

Find the derivative of `((x)^(5/2)(x-3)^(3/2))/((7x-5)^(4/3))`

Text Solution

Verified by Experts

`"Let y"=(sqrt(x)(x+4)^(3//2))/((4x-3)^(4//3))`
Taking log of both sides, we get
`log y=(1)/(2) log x +(3)/(2) log (x+4)-(4)/(3) log (4x-3)`
`Differentiating both sides w.r.t x, we get
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