Ex 6.3

Chapter 6 Class 12 Application of Derivatives
Serial order wise

### Transcript

Ex 6.3,1 (Method 1) Find the maximum and minimum values, if any, of the following functions given by (iv) f(đĽ) = đĽ3 + 1f(đĽ)=đĽ^3+1 Finding fâ(x) fâ(đĽ)=đ(đĽ^3 + 1)/đđĽ =3đĽ^2 Putting fâ(đ)=đ 3đĽ^2=0 đĽ^2=0 đĽ=0 Therefore by first derivate test, the point đĽ=0 is neither a point of local maxima nor a point of local Minima Hence đ=đ is point of inflexion Hence, there is no minimum or maximum value Ex 6.3, 1 (Method 2) Find the maximum and minimum values, if any, of the following functions given by (iv) f(đĽ) = đĽ3 + 1f(đĽ)=đĽ^3+1 Finding fâ(x) fâ(đĽ)=đ(đĽ^3+1)/đđĽ =3đĽ^2 Putting fâ(đ)=đ 3đĽ^2=0 đĽ^2=0 đĽ=0 Finding fââ(x) fâ(x) = 3x2 fââ(x) = 6x Finding fââ(x) at x = 0 fââ(0) = 6 Ă 0 = 0 Since fââ(x) = 0 at x = 0 â´ The point đĽ=0 is neither a point of local maxima nor a point of local Minima Hence đ=đ is point of inflexion Hence, there is no minimum or maximum value