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Differentiate the following w.r.t.x: cos(x2 + a2)

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Question

Differentiate the following w.r.t.x: cos(x2 + a2)

Sum
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Solution

Let y = cos(x2 + a2)

Differentiating w.r.t. x,we get,

`"dy"/"dx" = "d"/"dx"[cos(x^2 + a^2)]`

= `-sin(x^2 + a^2)."d"/"dx"(x^2 + a^2)`

= –sin(x2 + a2).(2x + 0)

= –2x sin(x2 + a2).

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Chapter 1: Differentiation - Exercise 1.1 [Page 12]

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