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Differentiate the function with respect to x. cos⁡(√𝑥)

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Question

Differentiate the function with respect to x.

`cos (sqrtx)`

Sum
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Solution

Let, y = cos `(sqrtx)`

`dy/dx = d/dx cos (sqrtx)`

= `-sin sqrtx. d/dx (sqrtx)`

= `-sin sqrtx . 1/2 (x)^((-1)/2)`

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

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

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.2 | Q 8 | Page 166

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