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Find the derivatives of the following : ...

Find the derivatives of the following :
(i) `(x^(3)3x^(2)+4)(4x^(5)+x^(2)-1)` (ii) `(9x^(2))/(x-3)`

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To find the derivatives of the given functions, we will use the product rule for the first function and the quotient rule for the second function. ### Part (i): Find the derivative of \( (x^3 + 4)(4x^5 + x^2 - 1) \) 1. **Identify the functions**: Let \( u = x^3 + 4 \) and \( v = 4x^5 + x^2 - 1 \). 2. **Find the derivatives of \( u \) and \( v \)**: ...
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