Maxima and MinimaHard

Question

Let f: R → R be defined by f(x) = . If f has a local minimum at x = - 1, then a possible value of k is

Options

A.0
B.
C.- 1
D.1

Solution

f(x) = k - 2x       if x ≤ - 1
      = 2x + 3      if x > - 1
     

Create a free account to view solution

View Solution Free
Topic: Maxima and Minima·Practice all Maxima and Minima questions

More Maxima and Minima Questions

f(x) = 1 + [cos x]x, in 0 < x ≤ (where [.] denotes greatest integer function)...The positive real number x when added to it′s reciprocal gives the minimum value of the sum at x equal to -...For all a, b ∈ R the function f(x) = 3x4 - 4x3 + 6x2 + ax + b has -...If 0 ≤ x ≤ π, then maximum value of y = (1 + sin x) cos x is -...If for a function f(x), f′(a) = 0 = f″(a) = ...... = fn-1(a) but fn(a) ≠ 0, then at x = a, f(x) is max...