Techniques of Differentiation - Product Rule

Techniques of Differentiation - Product Rule

Given that \(y=x{{\left( {{x}^{3}}-9 \right)}^{3}}\), find \(\frac{\mathrm{d}y}{\mathrm{d}x}\).

Solution:

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Answer:\(\dfrac{\mathrm dy}{\mathrm dx}=(x^3-9)^2(10x^3-9)\)

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