The min value of 2x +3y when xy=6 is
Answers
Answered by
0
Answer:
Step-by-step explanation:
Let f(x)=2x+3y
f(x)=2x+
x
18
(∵xy=6given)
On differentiating, we get
f
′
x=2−
x
2
18
Put f
′
(x)=0 for maximum or minima.
⇒0=2−
x
2
18
⇒x=±3
And f
′′
x=
x
3
36
⇒f
′′
3=
3
3
36
>0
∴ At x=3, If x is minimum.
The minimum value is
f(3)=2(3)+3(2)=12
Similar questions