Q87.Let Max Min Max , = α1 + α2 loge( 158 ), then { 9−x25−x } 5−x } { 9−x25−x x}dx = β. If ∫2α−1β−83 0⩽x⩽2 = α and 0⩽x⩽2{ α1 + α2 is equal to ______
What This Question Tests
This question involves finding the maximum and minimum values of a rational function in a given interval, which requires careful analysis of its derivative. The nested Max/Min interpretation is crucial, and finally, a definite integral needs to be evaluated.
Concepts Tested
Formulas Used
d/dx(f(x)/g(x)) = (f'(x)g(x) - f(x)g'(x))/(g(x))^2
∫c dx = cx
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📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Maxima and Minima
- Year
- 2022
- Shift
- 24 Jun Shift 1
- Q Number
- Q87
- Type
- Numerical
- NCERT Ref
- Class 12 Mathematics Ch 6: Application of Derivatives
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