Problem 1. (1 point) Problem 5. (1 point) Let f (t) = (12 + 3t + 7) (3+2 + 6). Find f' (t). Consider the function h(x), for which h(3) = -4 and h'(3) = 2. f' (t) = Find f'(3) for the function f (x) = h(x) X Find f'(4). f' (3) = Problem 6. (1 point) f' ( 4) =_ Given that: Problem 2. (1 point) f (-4) = 4, f'(-4) = 3, Given that 8(-4) = 3, 8'(-4) =7, f(x) = xoh(x) h(-1) = 2 calculate the following: h' ( - 1) = 5, calculate f'(-1). (fg)'(-4) = [HINT: Use the product rule and the power rule.] (f/8)' (-4) = (8/ f)' (-4) = Problem 3. (1 point) Problem 7. (1 point) 5x + 8 If f (x) = 2 x + 3 find f' (x). Let f (x) = (3x2 - 3) (x2 -4) x2 + 4 Evaluate f' (x) at x = 3. f' (x ) = f' (3) = Problem 8. (1 point) Problem 4. (1 point) Find an equation for the line tangent to the graph of X Let f(x) = x + 8 ' Find f' (x). f (x ) = = Vx 4x - 3 f'(x ) = at the point (1, f (1)). y=