3. 4. a. Draw f (x) =Inx a. Draw g(x ) =sinx b. Sketch the tangent line to the curve at b. Sketch the tangent line to the curve at (2, In2) = (2,.693) on the above graph. I V2 =(.785,.707) on the above graph. c. Fill in the table to find slopes of secant lines c. Fill in the table to find slopes of secant to f (x) =Inx on intervals approaching x = 2 lines approaching g (x ) = sinx atx= Interval Length Slope of Secant Line Interval Length Slope of Secant Line of of Interval Interval [1.9,2] [1.99,2] [1.999,2] [2,2.1] [2,2.01] [2,2.001] d. Use the table to determine the slope of the d. Use the table to determine the slope of tangent line at x = 2 . the tangent line x =