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Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

If the slope of tangent to curve y=e^x x possess local maxima at x=a , then 'a' equals -

Options

  1. A3 2
  2. B2
  3. C0

Correct answer

3

Step-by-step solution

d y d x =e^x( x- x)=m (let) Now d m d x =-2 e^x x For m to be max., dm dx =0 x = n , n I d ^2 ~m dx ^2 =-2 e^ x ( x + x ) At x =0, ~d ^2 ~m dx ^2 0 x =0 is a point of maxima

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