Question

The local maximum value of the function
7T
x+
2
sint
f (t) = 1
dt in the interval
1 + sinat
c€ (0, TT) is
(A) In 3
(B) – V2 In (V2 - 1) – 23
(C) 12 In 3
2​

Answer 1

Answer:

Correct option is

A

2,0

Given, Function,y=x

3

−3x

2

+6

So for that, we have to find the critical value of y so, differentiate y respect to x

y

′

=3x

2

−6x=3x(x−2)=0

So, X is either be 2 or 0. these are the critical values.