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

Answer 1

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