Question
Question: f(x) = <img src="https://cdn.pureessence.tech/canvas_29.png?top_left_x=300&top_left_y=1075&width=300...
f(x) = 
(t – 1)(t – 2)3(t – 3)5 dt has a local minimum at x equals :
A
0
B
Not exist
C
2
D
) 3
Explanation
Solution
)
Sol. f '(x) = x(ex – 1) (x – 1) (x – 2)3 (x – 3)5 . 1
for max. & min. f '(x) = 0, Ž x = 0, 1, 2, 3
f '(x) changes sign –ve to +ve at x = 1
& x = 3
so x = 1 & 3 are point of minima