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Class 12 Continuity And Differentiability · Mcq Single Correct1 Marksimplicit_differentiation

Class 12 Maths · Continuity And Differentiability · Mcq Single Correct #16

If sin y=x cos(a+y), find dx/dy where cos(a+y)≠0.

✅ Step-by-Step Solution

Final Answer: Option (A): cos a/cos²(a+y)
  1. Write x=sin y/cos(a+y). Quotient differentiation gives numerator cos y cos(a+y)+sin y sin(a+y)=cos a.

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