Q81.If x2 + y2 + sin y = 4, then the value of d2y at the point (−2, 0) is dx2 (1) −34 (2) −32 (3) −2 (4) 4
What This Question Tests
This problem requires calculating the second derivative (d^2y/dx^2) of an implicitly defined function at a specific point.
Concepts Tested
Formulas Used
d/dx (f(y)) = f'(y) dy/dx
Product rule for differentiation
📚 NCERT Sections This Tests
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Implicit differentiation
- Year
- 2018
- Shift
- 15 Apr Shift 1 Online
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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