Numerically estimate the slope of the line tangent to the graph of the function f at the given input value. Show the numerical estimation table with four estimates. (Round your answers for f(x) to six decimal places. Round your answers for the slope of the secant to four decimal places. Estimate f '(1) to the nearest hundredth.) f(x) = 3

x ; x = 1 x → 1− f(x) Slope of secant = f(1) − f(x) 1 − x x → 1+ f(x) Slope of secant = f(1) − f(x) 1 − x 0.9 1.1 0.99 1.01 0.999 1.001 0.9999 1.0001 f '(1)