Q. 9 E5.0( 1 Vote )

# Using diffe

Let us assume that Also, let x = 16 so that x + Δx = 15

16 + Δx = 15

Δx = –1

On differentiating f(x) with respect to x, we get We know    When x = 16, 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 = 1

Δf = (0.03125)(1)

Δf = 0.03125

Now, we have f(15) = f(16) + Δf  f(15) = 2 – 0.03125

f(15) = 1.96875

Thus, (15)1/4 ≈ 1.96875

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