Mathbee CBSE Mathbee · CBSE Class 12 Maths
Class 12 Applications Of Derivatives · Mcq Single Correct1 Marksoptimization

Class 12 Maths · Applications Of Derivatives · Mcq Single Correct #20

Find the global minimum value of f(x)=x⁴−x²−2x+6.

✅ Step-by-Step Solution

Final Answer: Option (C): 4
  1. f′=2(x−1)(2x²+2x+1). The quadratic factor is always positive, so f decreases up to 1 and increases afterwards. f(1)=4.

Master Chapter 6: Applications Of Derivatives

Practise interactive questions, flashcards, visual mind maps, and timed board tests for Applications Of Derivatives.
📘 Chapter Notes & All Exercises 🚀 Open in Interactive Workspace →
← Previous Question
For which real b is f(x)=x+cos x+b strictly decreasing on R?
Next Question →
Find the maximal open interval where f(x)=2x³+9x²+12x−1 is strictly…

More Practice Questions in Applications Of Derivatives

Related Questions in Applications Of Derivatives