Q. 68

# Mark (√) against the correct answer in the following:The function is increasing whenA. B. C. -3 < x < 3D. none of these

Given:

f(x) = x3-27x+8.

f’(x) = 3x2-27x = 0

f’(x) = 3(x2-9) =0

f’(x) = 3(x-3)(x+3) = 0

x = 3 or x =-3

for x>3 f(x) is increasing

for x<-3 f(x) is increasing

for |x|>3 f(x) is increasing.

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