Q78. d2x equals dy2 (1) d2y −1 dy −3 (2) d2y dy −2 −( dx2 ) ( dx ) ( dx2 )( dx ) (3) −( dx2d2y )( dxdy ) −3 (4) ( dx2d2y ) −1
What This Question Tests
The problem tests the ability to find the second derivative of x with respect to y, given the second derivative of y with respect to x. It involves using the chain rule and implicit differentiation concepts for inverse functions.
Concepts Tested
Formulas Used
dy/dx = 1 / (dx/dy)
d^2x/dy^2 = d/dy (dx/dy)
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📋 Question Details
- Chapter
- Differentiation
- Topic
- Higher order derivatives, Implicit differentiation
- Year
- 2011
- Shift
- Unknown
- Q Number
- Q78
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability
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