Home
Class 12
MATHS
The function f(x)=x/2+2/x has a local mi...

The function `f(x)=x/2+2/x` has a local minimum at `x=2` (b) `x=-2` `x=0` (d) `x=1`

A

2

B

`-2`

C

0

D

1

Text Solution

Verified by Experts

The correct Answer is:
A
`f.(x)=(1)/(2)-(2)/(x^(2)),f..(x)=(4)/(x^(3))`
Putting f.(x) = 0 we get `x = pm 2, f.. (2) = (4)/(8) = (1)/(2) gt0`, local min `f.. (-2) = (-1)/(2) lt 0`, local max.
Promotional Banner

Similar Questions

Explore conceptually related problems

The function f(x)=(x)/(2)+(2)/(x) has a local minimum at x=2( b) x=-2x=0 (d) x=1

The function f(x)=2x^3-3x^2-12x+5 has a minimum at x=

Show that f(x)=x^2+(250)/x has a local minimum at x=5.

The function f(x)=(x-1)^(2) has a minimum at x is equal to

The function f(x)=x^(2)e^(x) has minimum value

The function f(x)=2x^(3)-3(a+b)x^(2)+6abx has a local maximum at x=a , if

The function f(x)=(ax+b)/((x-1)(x-4)) has a local maxima at (2,-1), then

If the function f(x) = x^(2) + alpha//x has a local minimum at x=2, then the value of alpha is