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BITSAT2011MathematicsApplication of DerivativesActual

The function (f(x)= x-k x-c ), where (k ) and (c ) are constants, decreases always when

Options

  1. A(k > 1 )
  2. B(k 1 )
  3. C(k < 1 )
  4. D(k 1 )

Correct answer

B. (k 1 )

Step-by-step solution

Let (f(x)= x-k x-c ) where (k ) and (c ) are constants. (f^ (x)= x-k ) ( f ) decreases if ( x k ) Thus, (f(x)= x-k x-c ) decrease always when (k 1 ).

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