Let … be defined by … If …has a local minimum at …, then a possible value of … is

Option C. …f\left( x \right) = \left\{ {\matrix{ {k - 2x,\,\,\,\,if\,\,\,\,x \le - 1} \cr {2x + 3,\,\,\,\,if\,\,\,\,x > - 1} \cr

Application of Derivatives

JEE Main 2010 · Annual, Paper 1 · Q2626

MathematicsMedium175×since 2002Q2626

Let

f:R \to R

be defined by

$f\left( x \right) = \left\{ {\matrix{ {k - 2x,\,\,if} & {x \le - 1} \cr {2x + 3,\,\,if} & {x > - 1} \cr } } \right.

$ If

f

has a local minimum at

x=-1

, then a possible value of

k