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Differentiate (x^2-5x+8)(x^3+7x+9) in t...

Differentiate `(x^2-5x+8)(x^3+7x+9)` in three ways mentioned below:(i) by using product rule(ii) by expanding the product to obtain a single polynomial.(iii) by logarithmic differentiation.Do they all give the same answer?

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The correct Answer is:
`5x^(4)-20x^(3)+45x^(2)-52x+11`
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