Step 1 of 5 Recall the limit definition of the derivative of a function y = f(x) at a number a. This is the slope A slope of the tangent line to y = f(x) at x = a. f(x) - f(a) f'(a) = lim Xa X - a Step 2 of 5 To write the equation of the line tangent to the curve y = Vx at the point (x, y) = (64, 8), we will need the slope of that 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 at x = 64. f(x) - f(64) mtan = f'(64) = lim X- 64 x - 64 lim X-64 x - 64

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