Mathematics

Mathematics

Problem

17. Differentiate (x2−5x+8)(x3+7x+9)\left(x^{2}-5 x+8\right)\left(x^{3}+7 x+9\right) 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? (i) by using product rule (ii) by expanding the product to obtain a single polynomial. (iii) by logarithmic differentiation.

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