CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Q81 Marksextrema
CBSE Class 12 Mathematics 2026 Main Paper 65/2/1 · Question 8 (Applications Of Derivatives)
Which statement holds for f(x)=x+1/x, x≠0?
✅ Step-by-Step Solution
Final Answer: Local maximum is −2
- The derivative 1−1/x² changes from positive to negative at −1 and negative to positive at 1. The respective local values are −2 and 2.
Master Chapter 6: Applications Of Derivatives
Practise interactive questions, flashcards, visual mind maps, and timed board tests for Applications Of Derivatives.
← Previous Question
If e⁻ˣ+e⁻ʸ=2, find dy/dx.
Next Question →If \(\int_0^{2a}\frac{dx}{1+4x^2}=\frac{\pi}{6}\), find a.
All Questions in CBSE Class 12 Mathematics 2026 Main Paper 65/2/1
Related Questions in Applications Of Derivatives
Class 12 Applications Of Derivatives · Mcq Single Correct
Find the maximal open interval on which f(x)=x²e^(−x) has positive derivative.
Class 12 Applications Of Derivatives · Mcq Single Correct
For f(x)=x²−4x+6, identify the maximal open interval where f′(x)>0.
Class 12 Applications Of Derivatives · Mcq Single Correct
For x>0, at which x is f(x)=x^x stationary?
Class 12 Applications Of Derivatives · Mcq Single Correct
Find the maximum value of (1/x)^x for x>0.
Class 12 Applications Of Derivatives · Mcq Single Correct
Find the maximum of [x(x−1)+1]^(1/3) on 0≤x≤1.
Class 12 Applications Of Derivatives · Mcq Single Correct
A trapezium area model is A(x)=(10+x)√(100−x²) cm² for 0≤x≤10. Find its maximum.