Using differentials, find the approximate values of the following:

Let us assume that


Also, let so that




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



We know





When, 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



Δf = 0.0104166


Now, we have







Thus,


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