Absolute minima/maxima
Last updated at April 16, 2024 by Teachoo
Ex 6.3, 5 Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: (i) f (đĽ) = đĽ3, đĽâ[â 2, 2]Finding fâ(đ) fâ(đĽ)=đ(đĽ^3 )/đđĽ fâ(đĽ)=3đĽ^2 Putting fâ(đ)=đ 3đĽ^2=0 đĽ^2=0 đĽ=0 So, đĽ=0 is critical point Since given interval is đĽ â [â2 , 2] Hence calculating f(đĽ) at đĽ=â2 , 0 , 2 Absolute Maximum value of f(x) is 8 at đ = 2 & Absolute Minimum value of f(x) is â8 at đ = â2