Maxima and MinimaHard
Question
For the function f(x) = 
dt, where x > 0,
dt, where x > 0,Options
A.maximum occurs at x = nπ, n is even
B.minimum occurs at x = nπ, n is odd
C.maximum occurs at x = nπ, n is odd
D.None of these
Solution
f(x) = 
dt
f′(x) =
x > 0
f′(x) = 0
= 0
when x = nπ
f′(x) =
f″(x) =
∴ x = nπ all of odd coefficient of π, cosx gives negative and becomes zero so it will be maximum occurs at x = πp, n is odd
dtf′(x) =
x > 0f′(x) = 0
= 0when x = nπ
f′(x) =
f″(x) =
∴ x = nπ all of odd coefficient of π, cosx gives negative and becomes zero so it will be maximum occurs at x = πp, n is odd
Create a free account to view solution
View Solution FreeMore Maxima and Minima Questions
If f′(c) changes sign from negative to positive as x passes through c, then -...Which of the following functions has only finite number of extreme points -...P and Q are two points on a circle of centre C and radius α, the angle PCQ being 2θ then the radius of the cir...If for a function f(x), f′(b) = 0, f″(b) = 0, f″′(b) > 0, then x = b is-...f(x) = 2sinx + cos2x, 0 < x < 2π is maximum at-...