(1 point) Constructing new functions from old ones and calculating the derivative of the new function from the derivatives of the old functions: From the table below calculate the quantities asked for: (1 point) Find all values of a such that y : fig and y : :82 l 162: l 64 intersect at right angles. Points 0; : Notes: Enter as a comma separated list, smaller values of a first. If no answers enter "NA". Suppose the derivative of f exists, and assume that f(2) = 3, and f'(2) : 2. Let gee) = was), and hes) = f\") 331 ' a) g'(2) : Find the equation of the tangent line to g(;1:) at :1: = 2. y : b) m2) = Find the equation of the tangent line to Mac) at :1: = 2. y : (1 point) Calculate the derivative using the appropriate rule or combination of rules. em \"Wm mac) = (1 point) Use the gure below to estimate the indicated derivatives. If a derivative does not exist, enter dne in the answer blank. The graph of x) is black and has a sharp corner at a: = 2. The graph of g(:z:) is blue. (1 point) Find the equation of the tangent line to the curve y : 6 sec(a:) 12 (305(33) at the point (7r/3, 6). Write your answer in the form y : ma: i b where m is the slope and b is the y-intercept. (1 point) Find for da 2 y = tan(x) da- 2(1 point) Find f (a ) for 3 (x2 + 1) cot(ac) f ( 2 ) = 2 - cos(x ) csc (x) f' ( ac ) =