Q74.The local maximum value of the function, f(x) = ( x2 )x2 , x > 0, e (1) 1 (2) ( √e4 ) 4 e (3) (e) 2e (4) (2√e) 1 π x x )dx is :
What This Question Tests
This question requires finding the local maximum value of a function of the form f(x)^g(x), which involves logarithmic differentiation and applying the first or second derivative test.
Concepts Tested
Formulas Used
d/dx (f(x)^g(x)) = f(x)^g(x) [g'(x)ln(f(x)) + g(x)f'(x)/f(x)]
f'(x) = 0 for critical points
📚 NCERT Sections This Tests
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14.2 Which of the statements given in Exercise 14.1 is true for p-type semiconductos.
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12.5 A hydrogen atom initially in the ground level absorbs a photon, which excites it to the n = 4 level. Determine the wavelength and frequency of photon.
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Local Maxima and Minima
- Year
- 2021
- Shift
- 26 Aug Shift 2
- Q Number
- Q74
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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