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Differentiate the function with respect to x. cos(x) - Mathematics

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प्रश्न

Differentiate the function with respect to x.

`cos (sqrtx)`

बेरीज

उत्तर

cos `(sqrtx)`

Let y = cos `(sqrtx)` and `sqrtx` = u.

Then y = cos u

`dy/dx = dy/du xx du/dx`

`= (d cos u)/du xx (d sqrtx)/dx`

`= - sin u xx 1/2 sqrtx`

`= - (sin sqrtx)/(2 sqrtx)`

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पाठ 5: Continuity and Differentiability - Exercise 5.2 [पृष्ठ १६६]

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एनसीईआरटी Mathematics [English] Class 12
पाठ 5 Continuity and Differentiability
Exercise 5.2 | Q 8 | पृष्ठ १६६

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