Answer: Answer: 1'13 # 1 Let f (x) = 2(x + 3) and let g(x) be the # The function / (x) is an increasing inverse of f (x). Find g'(5). function about which little else is known other than f (2) = 7 and f'(2) = 5. f ' lx ) = 2 Find (f-1)'(7). f'(5) = 2 g'(5)= 12 Answer: } /4 Answer: 6 The function g(x) = 4 tan x has the # Let g(x) = f (x) and let f (x) = Inx. point (. _) on its graph. Find g'(0). Let f (x) = g-1(x). Find f'(4). Answer: $ 1217 Answer: 3 /14 # Given g (3) = -10 and g'(3) = -8. # Let f (x) = ex-3 and let g(x) be the Find (g-1)'(-10) inverse of f(x). Find g'(3). @ Virge Cornelius 2016 Answer: 8-3/2 Answer: 7 12 # The piecewise function f(x) is defined # Two functions, g(x) and f(x) are for all x and is invertible. related such that g(f (x)) = f(g(x)) = x. Find (f-1)'(-6). If g(x) = x3, find f' (8). (1x - 21, f(x) = x50 12-x3, x>0 Answer: 1 Answer: 4-'/12 # Let f (x) = g (x), g(x) = x3+x, #_2 Let f(x) = Vx+ *. The point (8, and g (1) = 2. Find f'(2). is on the graph of f (x) Let g(x) = f-1(x). What is g'(6)? Answer: 34 -413 Answer: 1 '18 # Let / (x) = _ and let g(x) = f-1(x). #_ Let f (x) = x3 + 2x. Find f (-2). Find g'(0). Now find # 1 dy (-12). Answer: 5 /12 Answer: 1 '15 Let f(x) = vx . The point (9, 3) is on # . The function g(x) is a decreasing the graph of f (x). Find (f-1)'(3), the function. Use the table to determine = (1). derivative of the inverse of f evaluated at x = 3. X g(x) g'(x) 0 6 2 3 1 @ Virge Cornelius 2016