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

Explanation

Let `y=\frac{\sqrt{x}(x+4)^{\frac{3}{2}}}{(4 x-3)^{\frac{4}{3}}}`



Taking log of both sides, we get
$$ \log y=\frac{1}{2} \log x+\frac{3}{2} \log (x+4)-\frac{4}{3} \log (4 x-3) $$
Differentiating both sides w.r.t. `x`, we get
$$
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