Question

what is the value of f"' (tan^-1x)=​

Answer 1

Answer:

The domain of f(x) is (0,∞).

For x>0,

f′(x)=1+x21−2x1=(1+x2)2x2x−(1+x2)=−(1+x2)2x(1−x)2

Thus f′(x)<0, i.e.f(x) decreases on (0,∞).

Also f′(x)=0 if x=1 and f(1)=π/4

f(1/3)=π/6+(1/4)log3, f(3)=π/3−(1/4)log3.

Thus the greatest value is π/6+log3 and the least value is π/3−(1/4)log3.

Ans: A,B,C

Step-by-step explanation:

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