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Differentiate the function with respect to x. sin (x2 + 5)

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Question

Differentiate the function with respect to x.

sin (x2 + 5)

Sum
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Solution

Let, y = sin (x2 + 5)

On differentiating with respect to x,

`dy/dx = d/dx sin (x^2 + 5)`

= `cos (x^2 + 5) d/dx (x^2 + 5)`

= cos (x2 + 5) (2x + 0)

= 2x cos (x2 + 5)

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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 1 | Page 166

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