Use differentials to approximate the quantity. (Round your answer to four decimal places.) 77.6 And answer the following questions. a) In order to use the differential, we need a function.

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Differentials Let y=f(x) be a differentiable function of x. ∆x is an arbitrary increment of x. dx = ∆x (dx is called a differential of x.) ∆y is actual change in y as x goes from x to x+∆x. i.e. ∆y =

In this method Δ x and Δ y represent the changes in x and y for the function, and dx and dy represent the changes in x and y for the tangent line. Approximate √10 10 by differentials. √10