Q81.If x2 + y2 + sin y = 4 , then the value of d2y at the point (−2, 0) is : dx2 (1) −34 (2) 4 (3) −2 (4) −32
What This Question Tests
This question tests the ability to perform implicit differentiation twice to find the second derivative of a function and then evaluate it at a specific point.
Concepts Tested
Formulas Used
d/dx(f(y)) = f'(y) dy/dx
Quotient rule for differentiation
Chain rule
📚 NCERT Sections This Tests
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9.15 Apply mirror equation and the condition: (a) f < 0 (concave mirror); u < 0 (object on left) (b) f > 0; u < 0 (c) f > 0 (convex mirror) and u < 0 (d) f < 0 (concave mirror); f < u < 0 to deduce the desired result.
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Implicit Differentiation
- Year
- 2018
- Shift
- 15 Apr
- Q Number
- Q81
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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