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Differentiate sqrt(((x-3)(x^2+4))/(3x^2+...

Differentiate `sqrt(((x-3)(x^2+4))/(3x^2+4x+5))` w.r.t x.

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To differentiate the function \( y = \sqrt{\frac{(x-3)(x^2+4)}{3x^2+4x+5}} \) with respect to \( x \), we will use logarithmic differentiation for simplicity. Here’s a step-by-step solution: ### Step 1: Rewrite the function Let: \[ y = \sqrt{\frac{(x-3)(x^2+4)}{3x^2+4x+5}} \] This can be rewritten as: ...
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