To write the equation of the line tangent to the curve y = Vx at the point (x, y) = (64, 8), tangent line and a point on the tangent line. Use the limit definition of derivative to find the slope of the tangent line, man, to y = Vx a lim x-64 f(x) – f(64) x - 64 mtan = f'(64) = Vx - 8 VI-8 = lim x-64 x - 64 Step 3 of 5 Rationalize the numerator to evaluate the limit. Vx - 8 - 8 lim x64 lim x-64 x - 64 x - 64 Vx + 8 x - 64 = lim x-64 (x - 64)(Vx + 8 = lim x- 64 Vx + 8 1 + 8

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