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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

If g(x)=7 x^2 e^ -x x R , then g(x) has -

Options

  1. Alocal maximum at x =0
  2. Blocal minima at x=0
  3. Clocal maximum at x=-1
  4. Dtwo local maxima and one local minima

Correct answer

D. two local maxima and one local minima

Step-by-step solution

aligned & g^ (x)=14 x e^ -x^2 -14 x^3 e^ -x^2 & =14 x e^ -x^2 (1-x^2 )=-14 x(x+1)(x-1) e^ -x^2 aligned

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