Question

If y = x² + 4 and x changes from 3 to 3.1, then use differential to approximate change in y.

Answer 1

Given, y = x² + 4

At x = 3

y = (3)² + 4 = 9 + 4 = 13

∆x = 3.1 – 3 = 0.1

∵ y = x² + 4

Diff. w.r.t. x,

Hence, approximate value of change in y is 0.6.