Q80.If y = enx , then dx2d2y . d2xdy2 (1) ne−nx (2) −ne−nx (3) nenx (4) 1 x ∈R, then the equation f(x) = 0 has :
What This Question Tests
This question evaluates proficiency in calculating second-order derivatives, including the second derivative of an inverse function (d²x/dy²), and then performing algebraic simplification.
Concepts Tested
Formulas Used
d/dx(e^(nx)) = ne^(nx)
d²y/dx²
dx/dy = 1/(dy/dx)
d²x/dy² = - (d²y/dx²) / (dy/dx)³
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📋 Question Details
- Chapter
- Differentiations
- Topic
- Higher order derivatives
- Year
- 2014
- Shift
- 09 Apr Online
- Q Number
- Q80
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 5: Continuity and Differentiability