CBSE Class 12 Sample Paper for 2024 Boards
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CBSE Class 12 Sample Paper for 2024 Boards
Last updated at February 10, 2025 by Teachoo
This question is similar to Ex 6.2 ,19 Chapter 6 Class 12
![Find the intervals in which function f(x) = xe^x is increasing [Video] - CBSE Class 12 Sample Paper for 2024 Boards](https://cdn.teachoo.com/ca1ff9d2-6d92-472e-8780-667616f6d0ee/slide62.jpg)
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Transcript
Let f(š„) = š„š^š„ Finding fā(š) fā(š„) = (š„š^š„ )ā² Using product rule fā(š„) = (š„)ā² š^š„ + (š^š„ )ā (š„) fā(š„) = (1) š^š„ + (š^š„ ) (š„) fā(š„) = š^š„+š^š„ š„ fā(š) = e š (š+š) Putting fā(š)=š e š (š+š) =š 1+š„ = 0 So, š„=ā1 Plotting points on real line Hence, f(š„) is increasing on [āš ,ā)
