NCERT Class 12 · Ch 6 Exercise 6.2 · Q4
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.2 Question 4
Find intervals of increase and decrease for f(x)=\(2 x^{2} - 3 x\).
💡 Concept Hints
- Identify the domain and the inner and outer functions, or the relevant one-sided limits.
- Apply the appropriate differentiation or limit rule, keep all chain factors, and check exceptional points.
✅ Step-by-Step Solution
Final Answer: Increasing on (3/4,∞); decreasing on (−∞,3/4).
- f′=4x−3. It is zero at 3/4, negative to the left, positive to the right.
- The sign criterion gives the stated intervals; the stationary endpoint can be included in either monotone interval.
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