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Find the maximum and minimum value of the expression x 2 +14x+9/x 2 +2x+3
Find the maximum and minimum value of the expression x2+14x+9/x2+2x+3

```
4 years ago

Vikas TU
14149 Points
```							Let N = x2+14x+9and D = x2+2x+3 Differntiating both we get,dN/dx = 2x + 14 = 0 = > x = -7anddD/dx = 2x + 2 = 0 => x = -1At x = -1 x2+14x+9/x2+2x+3  = > -2 At x = – 7 x2+14x+9/x2+2x+3  = > 20/19.Hence, -2 is the minimum value and 20/19 is the maximum value.
```
4 years ago
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• 101 Video Lectures
• Revision Notes
• Test paper with Video Solution
• Mind Map
• Study Planner
• NCERT Solutions
• Discussion Forum
• Previous Year Exam Questions