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

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Question

Differentiate the function with respect to x.

`cos (sqrtx)`

Sum

Solution

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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Chapter 5: Continuity and Differentiability - Exercise 5.2 [Page 166]

APPEARS IN

NCERT Mathematics [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.2 | Q 8 | Page 166

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