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Question
Differentiate the function with respect to x:
(3x2 – 9x + 5)9
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Solution
Let, y = (3x2 – 9x + 5)9
On differentiating with respect to x,
`dy/dx = d/dx (3x^2 - 9x + 5)^9`
= `9 (3x^2 - 9x + 5)^(9 - 1) d/dx (3x^3 - 9x + 5)`
= 9(3x2 – 9x + 5)8 ⋅ (6x – 9)
= 27(3x2 – 9x + 5)8 ⋅ (2x – 3)
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