Q15 of 105 Page 17

Mark the correct alternative in the following:

Function f(x) = 2x3 – 9x2 + 12x + 29 is monotonically decreasing when


Formula:- (i) The necessary and sufficient condition for differentiable function defined on (a,b) to be strictly decreasing on (a, b) is that f’(x)<0 for all x(a,b)


Given:-


f(x) = 2x3 – 9x2 + 12x + 29


f’(x)=6(x-1)(x-2)


for decreasing function f’(x)<0


f’(x)<0


6(x-1)(x-2)<0


1<x<2

More from this chapter

All 105 →
13

Mark the correct alternative in the following:

In the interval (1, 2), function f(x) = 2 |x – 1|+3|x – 2| is


 14

Mark the correct alternative in the following:

Function f(x) = x3– 27x +5 is monotonically increasing when


 16

Mark the correct alternative in the following:

If the function f(x) = kx3 – 9x2 + 9x + 3 is monotonically increasing in every interval, then


 17

Mark the correct alternative in the following:

f(x) = 2x – tan–1 x – logis monotonically increasing when