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Question
If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y ______.
Options
0.32
0.032
5.68
5.968
Solution
If y = x4 – 10 and if x changes from 2 to 1.99, what is the change in y 0.32.
Explanation:
Given that y = x4 – 10
`"dy"/"dx"` = 4x3
Δx = 2.00 – 1.99 = 0.01
∴ Δy = `"dy"/"dx" * Δ"x"`
= `4x^2 xx Δ"x"`
= 4 × (2)3 × 0.01
= 32 × 0.01
= 0.32
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