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 Feb. 12, 2025 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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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo

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