17. Given y = sin2 x Find the equation for the tangent and normal lines to the graph where x = E. 18. Given f(x) = sin2 x and g(x) = x2 5. Let H(x) = f(g(x)) and K06) = g(f(x)). a. Find H'(x) and K'(x). b. Find KG) 19. Given f(x) = lsinxl and g(x) = x2 for 27r S x S 27E. a. Sketch the graph off(x) without the use of a calculator. b. Let k(x) = f(g(x)) Write the equation of the tangent and normal line to the graph of k(x) at 1T 96 = 4 20. The graph off(x) is shown below. Sketch the graph off'(x) on the same axes. 21. Given x2 + y3 = 1. Find dx2 at (3, -2)