Physics miscellaneousHard
Question
Let f(x) = x sin π x, x > 0. Then for all natural numbers n, f′(x) vanishes at -
Options
A.a unique point in the interval 
B.a unique point in the interval 
C.a unique point in the interval (n, n + 1)
D.two points in the interval (n,n + 1)
Solution
Æ’′(x) = sinπx + π x cos π x = 0
tan π x = - p x
y = tanx π & y = - π x
intersection point lies in
..........
as well (n, (n + 1)) because root lies in
tan π x = - p x
y = tanx π & y = - π x
intersection point lies in
..........as well (n, (n + 1)) because root lies in
Create a free account to view solution
View Solution FreeMore Physics miscellaneous Questions
A ball is released from the top of a tower of height h meter. It takes T seconds to reach the ground. What is the positi...A cylindrical tank has a hole of 1cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it ...The value of the resistor, RS, needed in the dc voltage regulator circuit shown here, equals :...In the following circuit, when the switch is closed the bulb will not glow :-...A carbon resistor (47 ±4.7) kΩ is to be marked with rings of different colours for its identification. The col...