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

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?

Text Solution

Verified by Experts

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