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Obtian (dy)/(dx) for the following : (...

Obtian `(dy)/(dx)` for the following :
`(9x^(3)-8x+7)(3x^(5)+5)`

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AI Generated Solution

To find the derivative \(\frac{dy}{dx}\) for the expression \((9x^3 - 8x + 7)(3x^5 + 5)\), we will use the product rule of differentiation. The product rule states that if you have two functions \(u(x)\) and \(v(x)\), then the derivative of their product is given by: \[ \frac{d(uv)}{dx} = u \frac{dv}{dx} + v \frac{du}{dx} \] ### Step 1: Identify the functions Let: ...
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