Let f(x) = 5 - 3x2. If h # 0, then the difference quotient can be simplified as f(ath) - f(2) = Ah + Bx + C, h where A, B, and Care constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A = = , and C = Use the simplified expression to find f'(x) = lim f(act h) - f(ac) = h-0 h Finally, find each of the following: f'(1) = , f' ( 2 ) = , and f'(3) =Suppose x) 2 11 $2. (a) Find the slope of the tangent line to the graph y 2 at) when :1: = 2. ()() h>0 h h>0 ' Slope = lim (b) Find an equation for the tangent of to the curve y 2 at) at the point (2, 7). Let f (to) = 5\\/_ 8. If h 7 0, then the dinerence quotient can be simplied as ff(=c) = A h x/Bx+0h+\\/E' where A, B, and C are constants. (Note: It's possible for one or more of these constants to be 0.) Find the constants. A: i. 53: f, ,andCz y; Use your answer from above to nd f'(:c) 2 133 w = y; Finally, nd each of the following: f'(1) = i. ,f'(2) = i, , and f'(3) =