Ex 6.3

Chapter 6 Class 12 Application of Derivatives
Serial order wise

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### Transcript

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