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AP EAMCET202018 Sep 2020Morning ShiftMathematicsApplication of DerivativesActual

The value of ' (k ) ' for which the function (f(x)=k(x+ x)+k ) is increasing, is equal to

Options

  1. A(k < 0 )
  2. B(k>0 )
  3. C(k=0 )
  4. DData Insufficient

Correct answer

B. (k>0 )

Step-by-step solution

Given function (f(x)=k(x+ x)+k ) So, ( f^ (x)=k(1+ x) ) ( f(x) ) is an increasing function, so ( aligned & f^ (x) 0 & k(1+ x) 0 & k > 0 1+ x 0 aligned )

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