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

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

Text Solution

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`y=x^4-12`
`dy=4x^3dx`
`/_y cong (4x^3)*/_x`
`Z->1.99`
`/_x=1.99-2=-0.01`
`/_y cong (4.2^3)*(-0.01)`
`-32(-0.01)=-0.32`.
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