This question is similar to Chapter 6 Class 12 Application of Derivatives - Ex 6.2
Please check the question here

CBSE Class 12 Sample Paper for 2025 Boards
CBSE Class 12 Sample Paper for 2025 Boards
Last updated at Dec. 13, 2024 by Teachoo
This question is similar to Chapter 6 Class 12 Application of Derivatives - Ex 6.2
Please check the question here
Question 3 The interval in which the function đ defined by đ(đĽ)=đ^đĽ is strictly increasing, is (A) [1,â) (B) (ââ,0) (C) (ââ,â) (D) (0,â)f(đĽ) = đ^đĽ We need to find which interval it is strictly increasing Now, f(đĽ) = đ^đĽ fâ(đ) = đ^đ And, đ^đ>đ for all values of x Therefore, fâ(đ) >đ for all values of x Thus, f(đĽ) is increasing for (ââ,â) So, the correct answer is (C)