Question 3 - CBSE Class 12 Sample Paper for 2025 Boards - Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Last updated at Oct. 3, 2024 by Teachoo

This question is similar to Chapter 6 Class 12 Application of Derivatives - Ex 6.2

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https://www.teachoo.com/4359/709/Ex-6.2--19---The-interval-in-which-y--x2-e-x-is-increasing/category/Ex-6.2/

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Transcript

Question 3 The interval in which the function 𝑓 defined by 𝑓(𝑥)=𝑒^𝑥 is strictly increasing, is (A) [1,∞) (B) (−∞,0) (C) (−∞,∞) (D) (0,∞)f(𝑥) = 𝑒^𝑥 We need to find which interval it is strictly increasing Now, f(𝑥) = 𝑒^𝑥 f’(𝒙) = 𝒆^𝒙 And, 𝒆^𝒙>𝟎 for all values of x Therefore, f’(𝒙) >𝟎 for all values of x Thus, f(𝑥) is increasing for (−∞,∞) So, the correct answer is (C)

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