Mark the correct alternative in the following:
Function f(x) = 2x³ – 9x² + 12x + 29 is monotonically decreasing when

Question

Mark the correct alternative in the following: Function f(x) = 2x 3 – 9x 2 + 12x + 29 is monotonically decreasing when

Philoid · Accepted Answer

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

Mark the correct alternative in the following:Function f(x) = 2x3 – 9x2 + 12x + 29 is monotonically decreasing when

Mark the correct alternative in the following:
Function f(x) = 2x³ – 9x² + 12x + 29 is monotonically decreasing when