1ls3_lectures181920

4 3 2 find the tangent line approximabon to fx at x1

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Unformatted text preview: = f (a) + f ' ( a)( x − a) Linear ApproximaBons Example: Let f ( x ) = x . 4 3 2 Find the secant line approximaBon to f(x) for x- values between 1 and 4. € Use this to approximate both 1 .1 and 3 .9. Compare to the actual value. € € 1 0 1 2 3 4 5 6 7 8 9 Linear ApproximaBons Example: Let f ( x ) = x . 4 3 2 Find the tangent line approximaBon to f(x) at x=1. € Use this to approximate both 1 .1 and 3 .9. Compare to the actual value. € € 1 0 1 2 3 4 5 6 7 8 9 QuadraBc ApproximaBons We can obtain a more accurate approximaBon by using polynomials of higher degrees. The tangent line (linear) approximaBon...
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