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MHT CET20226 Aug 2022Morning ShiftMathematicsApplication of DerivativesActual

Local maximum and local minimum values respectively of the function f(x)=(x-1)(x+2)^2 are

Options

  1. A-4,0
  2. B0,-4
  3. C-4,4
  4. D4,-4

Correct answer

B. 0,-4

Step-by-step solution

aligned & f(x)=(x-1)(x+2)^2 & f^ (x)=(x+2)^2+(x-1) 2(x+2)=(x+2)(x+2+2 x-2)=3 x(x+2) & + + -0_ -2 ⁺ & f_ =f(-2)=0 & f_ =f(0)=-4 aligned

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