Maxima and MinimaMedium
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
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