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Differentiate w.r.t. x the function: (3x2 – 9x + 5)9 - Mathematics

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प्रश्न

Differentiate w.r.t. x the function:

(3x2 – 9x + 5)9

योग

उत्तर

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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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.9 [पृष्ठ १९१]

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एनसीईआरटी Mathematics [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.9 | Q 1 | पृष्ठ १९१

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