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The minimum value of y=5x^(2)-2x+1 is...

The minimum value of `y=5x^(2)-2x+1` is

A

`1/5`

B

`2/5`

C

`4/5`

D

`3/5`

Text Solution

Verified by Experts

The correct Answer is:
C
For maximum / minimum value `(dy)/(dx)=0 implies 5(2x)-2(1)+0=0impliesx=(1)/5`
Now at ` x=(1)/5,(d^2y)/(dx^2)=10` which is positive so y has minimum value at `x=(1)/5` .
Therefore `y_("min")=5((1)/(5))^(2)-2((1)/5)+1=(4)/5`
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Knowledge Check

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