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MHT CET2007MathematicsApplication of Derivatives

If f(x)=k x- x is monotonically increasing, then

Options

  1. Ak>1
  2. Bk>-1
  3. Ck < 1
  4. Dk < -1

Correct answer

A. k>1

Step-by-step solution

Since, f(x)=k x- x is monotonically increasing for all x R . Therefore, f^ (x)>0 for all x R f^ (0)>0 array lr & k- 0>0 & k>1 array

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