Let f and g be differentiable functions. The following values for f, f', g, and g' are known: X f (x ) f' ( xx ) 8(x) g'(x) 3 -1 -2 2 IN NA 1 NIH 3 0 O 0 2 2 0 NA PA 2 -1 -1 The following functions are defined in terms of f and g sin x s(x) = 5f (x) +28(x) rx = f (x) +8(x) p(x) = f(x)g(x) u(x) = f(x) secx + g(x) csc x q(x) = f(x) tan x g(x) v(X ) = f(x) sinx + 1 Evaluate the following derivatives, or explain why they do not exist. a. s' (0) e. r (2) b. p' ( - 7 ) f. u' (T ) c. g' ( 4 ) g. v'(0) d. q'( - 2)