DUE: 3/6 WEEKLY REVIEW #1 X g(x) g'(x) -2 12 -5 -1 10 -2 0 7 0 1 4 -4 2 2 -1 graph of h 3 -2 -3 Let f be the function defined by f(x) = sin(nx) + In(2 - x). Let g be a strictly decreasing twice differentiable function. The table above gives values of g and g' at selected values of x. Let h be the function whose graph, consisting of three line segments, is shown in the figure above. (a) Find the slope of the tangent line to the graph of f at x = 1. (b) Use the equation of the tangent line to the graph of g at x = 1 to approximate g(1.2). (c) Find h"(-1). (d) Let w be the function defined by of. Find w'(3). (e) Let k be the function defined by k(x) = h(f(x) - 2). Find k'(1)