...Problem

8. Find the derivatives of the following functions using the basic rules. Leave your answers in an unsimplified form so that your method is obvious. (a) fla)=etal- ,/ (b) g(x) = ale" 3.r (c) h(x) = 1+ 129. The table below shows values of the functions f(x), g(x), and h(x) for a near 0. Based on the data is h = f' or is h = g'? Explain your answer by citing some feature of the data. -0.2 -0.1 0 0.1 0.2 f ( x) 0.494 0.498 0.500 0.498 0.494 g(I) 0.460 0.480 0.500 0.519 0.539 h(x) 0.059 0.029 0 -0.029 -0.059