Most Important Selected Qs for JEE AdvancedMathematicsApplication of Derivatives

Let f( x )= array cc | x -2|+ k , & x 2 3 x +2, & x 2 array . . If f( x ) has a local minimum at x =2 , then k can be equal to -

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Correct answer

B. 7

Step-by-step solution

f(x)= array cc 2-x+k, & x 2 3 x+2, & x 2 array . y=2-x+k is a decreasing function & y =3 x +2 is an increasing function, f( x ) will have a local minimum at x=2 if f(2) f(x) for x 2 array ll & k 3 x +2 for x 2 & k 8 array

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