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If f(x)=x^3-10 x^2+200 x-10, then f(x) i...

If `f(x)=x^3-10 x^2+200 x-10,` then `f(x)` is

A

f(x) is decreasing in `(-infty,10]` and increasing in `[10,infty)`

B

f(x) is increasing in `(-infty,10]` and decreasing in `[10,infty)`

C

f(x) is increasing throughout real line

D

f(x) is decreasing throughout real line

Text Solution

Verified by Experts

The correct Answer is:
C
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