MHT CET202415 May 2024Evening ShiftMathematicsApplication of DerivativesActual

The function f (x)=2 x^3-9 x^2+12 x+2 is decreasing in

Options

A1 x 2
Bx 1 or x 2
Cx -1 or x -2
D-2 x -1

Correct answer

A. 1 x 2

Step-by-step solution

aligned & f (x)=2 x^3-9 x^2+12 x+2 & f ^ (x)=6 x^2-18 x+12 aligned For decreasing function, f ^ (x) 0 aligned & 6 x^2-18 x+12 0 & x^2-3 x+2 0 & (x-1)(x-2) 0 & x (1,2) aligned

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