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Find dy/dx in the following: 2x + 3y = sin x

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Question

Find `bb(dy/dx)` in the following:

2x + 3y = sin x

Sum
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Solution

2x + 3y = sin x

Differentiating both sides with respect to x,

⇒ `2 d/dx (x) + 3 d/dx (y) = d/dx(sin x)`

⇒ `2 xx 1 + 3 dy/dx = cos x`

⇒ `3 dy/dx = cos x - 2`

`dy/dx = (cos x - 2)/3`

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Chapter 5: Continuity and Differentiability - Exercise 5.3 [Page 169]

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NCERT Mathematics Part 1 and 2 [English] Class 12
Chapter 5 Continuity and Differentiability
Exercise 5.3 | Q 1 | Page 169
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