The function f(x) = 4 - 3x+3x2 - x3 isA. decreasing on RB. increasing – InterviewSolution

1.

The function f(x) = 4 - 3x+3x2 - x3 isA. decreasing on RB. increasing on RC. strictly decreasing on RD. strictly increasing on R

Answer»

f(x) = -x³+3x²- 3x+4.

f’(x) = -3x²+6x - 3

f’(x) = -3(x²- 2x+1)

f’(x) = -3(x -1)²

As f’(x) has –ve sign before 3

⇒ f’(x) is decreasing over R.

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