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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Let f(x)= 2+ x x^2 , x>0 . Identify which of the following is(are) correct about f(x) ?

Options

  1. Af^ (x)=0 for some x (0, e^ -7 6 )
  2. B_ x 0 f^ (x)=
  3. C_ x 0 f(x)=0
  4. DRolle's Theorem is applicable for f^ (x) in some interval of (0, )

Correct answer

C. _ x 0 f(x)=0

Step-by-step solution

aligned & f(x)= 2+ x x^2 & f^ (x)= -2 x x^3 - 3 x^3 & f^ (x)= 6 x x^4 + 7 x^4 aligned Now, verify the options.

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