**Unformatted text preview: **" x . If " x is small then the tangent line is a good approximation to the function or the differential is a good approximation to the true change in y values dy " # y Example: 1. Find the equation of the tangent line to f ( x ) = tan x at x = 0. Use the tangent line to approximate the value of tan(.25) . (use your calculator to see how close this approximation is to the true value) 2. ( #15 in text h/w) Use a linear approximation (or differentials) to estimate the given number (2.001) 5...

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