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Find the derivative of (sqrt(x)(x+4)^(3/...

Find the derivative of `(sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3))` with respect to `x :`

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Let,y=`(sqrt(x)(x+4)^(3/2))/((4x-3)^(4/3))`
Taking log of both sides, we get
`logy=1/2​logx+3/2​log(x+4)−4/3log(4x−3)`
Differentiating both sides with x, we get
`1/y(​dy/dx)​=1/(2x)+3/2​ 1/(x+4)​−4/3​ xx 1/(4x−3)​xx 4`
...
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