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Question
Differentiate w.r.t. x the function:
(3x2 – 9x + 5)9
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(3x^2 - 9x + 5)^8 * (6x - 9)`
= 27(2x - 3)(3x2 - 9x + 5)8
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