Application of DerivativeHard
Question
If f(x) = 
; g(x) = 
where 0 < x < 1, then
; g(x) = where 0 < x < 1, thenOptions
A.both ′f′ and ′g′ are increasing functions
B.′f′ is decreasing & ′g′ is increasing function
C.′f′ is increasing & ′g′ is decreasing function
D.both ′f′ & ′g′ are decreasing function
Solution
f(x) = 
f′(x) =
For 0 < x < 1, tan
⇒ f′ (x) > 0 ⇒ f(x) is increasing.
f′(x) =
For 0 < x < 1, tan
⇒ f′ (x) > 0 ⇒ f(x) is increasing.
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