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.
Create a free account to view solution
View Solution FreeMore Application of Derivative Questions
The equation of normal to the curve y = ex at the point (0, 1) is-...If = an3 + bn2 + cn, then find the value of a + b + c....Let f(x) = Then, at x = 0, f has...The equation of the normal to the curve x = at2, y = 2at at ′t′ point is -...The surface area of a cube is increasing at the rate of 2 cm2/sec. When its edge is 90 cm, the volume is increasing at t...