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If y=x^4-12 and if x changes from 2 to 1...

If `y=x^4-12` and if `x` changes from 2 to 1.99. what is the appoinmate change in `y.`

A

`0.32`

B

`0.032`

C

`5.68`

D

`5.968`

Text Solution

Verified by Experts

The correct Answer is:
A
We have, `y=x^(4)-10 rArr (dy)/(dx) xx Deltax`
`=4x^(3) xx Deltax`
`=4xx 2^(3) xx 0.01`
`=32 xx 0.01 =0.32`
So, the approximate change in y is `0.32`.
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