Q. 9 Y3.7( 3 Votes )

Using diffe

Let us assume that

Also, let x = 27 so that x + Δx = 25

27 + Δx = 25

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(25) = f(27) + Δf

f(25) = 3 0.07408

f(25) = 2.92592

Thus, (25)1/3 ≈ 2.92592

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