Let us assume that

Also, let x = 27 so that x + Δx = 29

⇒ 27 + Δx = 29

∴ Δx = 2

On differentiating f(x) with respect to x, we get

We know

When x = 27, we have

Recall that if y = f(x) and Δx is a small increment in x, then the corresponding increment in y, Δy = f(x + Δx) – f(x), is approximately given as

Here, and Δx = 2

⇒ Δf = (0.03704)(2)

∴ Δf = 0.07408

Now, we have f(29) = f(27) + Δf

⇒ f(29) = 3 + 0.07408

∴ f(29) = 3.07408

Thus, (29)^1/3 ≈ 3.07408