Answer :

Given y = sin x and x changes from to.


Let so that




On differentiating y 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



Δy = 0


Thus, there is approximately no change in y.


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