Let f(x) = (3x- + 3x + 8)14 f' ( 2 )Find the first derivative of y = 3-97' +15 dy da+ 5 6 Let f(z) = c+1 f'(x) =Find the following using the table below. 2 3 4 f(x) -1 1 -5 2 f' (x) 5 2 -2 g(z) 4 2 W W W g' (IC) 4 5 4 If k(x) - f(x) - g(x), then k'(3) = f(x) If p(x) = then p' (3) - If m(x) = f(g(x)), then m'(3) -Find the first derivative of z - tan (sin (t) ) . dz dt Note that the system does not like sin" a notation. Instead, you must input as sin (a ) if needed.\fLet f (ac) = (z - 3)e -5x a) State any values of a where f' (a) = 0: b) State any intervals of a where f(x) is increasing: c) State any intervals of a where f(x) is decreasing