Suppose that If h(x) = -6f (x) + 8g(x), calculate h'(-7). h'(-7)= If h(x) = f(x)g(x), calculate h'(-7). h'(-7)= If h(x) = h'(-7)= If h(x) = h'(-7)= f(x) g(x) , calculate h'(-7). g(x) 8 + f(x) calculate h'(-7). # f(-7)= -9, f'(-7)= -8, g(-7)= -3, g' (-7) = 2. (1 point) Differentiate the function f(x) = Derivative is 5-x ex x8 + ex (1 point) Differentiate each function with respect to the independent variable. Assume that a is a positive constant. f(x) = (a 3x)(a + 3x) - f'(x) = f(x): f'(x) = = 2(x 8) 9 + a - h(t) = a(3t a) + 2a h'(t) = # (1 point) Use the product rule to differentiate each function with respect to the independent variable. f(x) = 6(x + 5)(4x 9x4) 6 '(x) = f(x)=(5-6x) f'(x) = f(x) = f'(x) = +4) (5x - 6x + 9 +5 (1 point) Differentiate each function with respect to the independent variable. 4-t (t + 5) h(t) = = h'(t) = f(s) = = ' (s) = g(s) = 5s - 4s + 4s - 8 (s - 4) S1/9 - $2/9 $3/9 +84/9 g' (s) =