Let f be differentiable at x = a. a. Find the equation of the line tangent to the curve y = f(x) at (a,f(a)). b. Find the Taylor polynomial p1 centered at a and confirm that it describes the tangent line found in part (a).
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Step 1: The equation of the tangent line to the curve y = f(x) at (a, f(a)) is given by y = f'(a)(x - a) + f(a). Show more…
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