Check sibling questions

Ex 6.5,4 - Chapter 6 Class 12 Application of Derivatives - Part 3

Ex 6.5,4 - Chapter 6 Class 12 Application of Derivatives - Part 4

Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class


Transcript

Ex 6.3, 4 Prove that the following functions do not have maxima or minima: (iii) β„Ž(π‘₯)= π‘₯^3+π‘₯^2+π‘₯+1Given h (x) = x3 + x2 + x + 1 Finding maxima or minima β„Žβ€™ (π‘₯) = 3π‘₯^2+2π‘₯+1 Putting β„Žβ€™ (π‘₯)= 0 3π‘₯^2+2π‘₯+1=0 For ax2 + bx + c = 0 x = (βˆ’π‘ Β± √(𝑏^2 βˆ’ 4π‘Žπ‘))/2π‘Ž Here π‘Ž = 3, b = 2, & c = 1 x = (βˆ’ 2 Β± √(4 βˆ’ 4(3)(1)))/6 x = (βˆ’ 2 Β± √(4 βˆ’ 12))/6 x = (βˆ’2 Β± √(βˆ’ 8))/6 x = (βˆ’ 2 Β± 2√(βˆ’ 2))/6 x = (βˆ’πŸ Β± √(βˆ’ 𝟐))/πŸ‘ Since root has minus sign, x has no real value ∴ h (x) does not have a maxima of minima

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.