NCERT Class 12 · Ch 6 Exercise 6.2 · Q2
NCERT Class 12 Maths · Chapter 6 Applications Of Derivatives · Exercise 6.2 Question 2
Show f(x)=\(e^{2 x}\) is increasing on R.
💡 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: Strictly increasing on R.
- Differentiate: f′(x)=\(2 e^{2 x}\).
- This derivative is positive for every real x, so the mean value theorem proves strict increase.
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