Q. 155.0( 1 Vote )

# Using diffe

Answer :

Let us assume that Also, let x = 4 so that x + Δx = 3.968

4 + Δx = 3.968

Δx = –0.032

On differentiating f(x) with respect to x, we get We know    When x = 4, 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 = –0.032

Δf = (3)(–0.032)

Δf = –0.096

Now, we have f(3.968) = f(4) + Δf  f(3.968) = 23 0.096

f(3.968) = 8 0.096

f(3.968) = 7.904

Thus, (3.968)3/2 ≈ 7.904

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