Q.

The minimum rate of change of the function f(x)=3x5-5x3+5x-7 is

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a

34

b

54

c

23

d

32

answer is B.

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Detailed Solution

Rate of change of f(x) is f'(x)=15x4-15x2+5=15x4-x2+13=15x2-122+112≥1512=54The minimum vale of f is attained at x=+12 and equals 54.
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