हिंदी

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

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प्रश्न

Find `bb(dy/dx)` in the following:

2x + 3y = sin y

योग
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उत्तर

2x + 3y = sin y

Differentiating both sides for x,

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

⇒ `2 xx 1 + 3 dy/dx = cos y`

⇒ `2 = cos y dy/dx - 3 dy/dx`

⇒ `2 = dy/dx (cos y - 3)`

∴ `dy/dx = 2/(cos y - 3)`

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 5: Continuity and Differentiability - Exercise 5.3 [पृष्ठ १६९]

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एनसीईआरटी Mathematics Part 1 and 2 [English] Class 12
अध्याय 5 Continuity and Differentiability
Exercise 5.3 | Q 2 | पृष्ठ १६९
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