Q63.The minimum value of f(x) = aax + a1−ax , where a, x ∈R and a > 0, is equal to: (1) a + 1 (2) 2a (3) a + a1 (4) 2√a
What This Question Tests
This question tests the ability to find the minimum value of a function, which can be efficiently solved by applying the AM-GM inequality to the given terms.
Concepts Tested
Formulas Used
(X+Y)/2 >= sqrt(XY) for X,Y > 0
📚 NCERT Sections This Tests
9.15 — Apply Mirror Equation And The Condition:
Physics Class 12 · Chapter 9
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.
1.3 — Define The Following Terms:
Chemistry Class 11 · Chapter 1
1.3 Define the following terms: (i) Mole fraction (ii) Molality (iii) Molarity (iv) Mass percentage.
1.27 — If The Solubility Product Of Cus Is 6 × 10–16, Calculate The Maximum Molarity Of
Chemistry Class 11 · Chapter 1
1.27 If the solubility product of CuS is 6 × 10–16, calculate the maximum molarity of CuS in aqueous solution.
📋 Question Details
- Chapter
- Applications of Derivatives
- Topic
- Maxima and Minima
- Year
- 2021
- Shift
- 25 Feb Shift 2
- Q Number
- Q63
- Type
- MCQ
- NCERT Ref
- Class 12 Mathematics Ch 6: Applications of Derivatives
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