Differentiate w.r.t. x the function. (3x...

Differentiate w.r.t. x the function. `(3x^2-9x+5)^9`

Text Solution

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`y=(3x^(2)-9x+5)^(9)`
`implies(dy)/(dx)=(d)/(dx)(3x^(2)-9x+5)^(9)`
`=9(3x^(2)-9x+5)^(8)(d)/(dx)(3x^(2)-9x+5)`
`=9(3x^(2)-9x+5)^(8)(6x-9)`
`=27(3x^(2)-9x+5)^(8)(2x-3)`

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