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Manipal MET2017MathematicsApplication of Derivatives

The function y=a(1- x) is maximum when x is equal to

Options

  1. A2
  2. B- 2
  3. C- 6

Correct answer

A. 2

Step-by-step solution

Given, y=a(1- x) On differentiating w.r.t. x , we get d y d x =a x Again differentiating w.r.t. x , we get d^2 y d x^2 =a x Put d y d x =0 for maxima or minima aligned & a x=0 x= & ( d^2 y d x^2 )_ x= =a =-a aligned Function is maximum at x= .

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