Please help me answer the following questions!

Use the quotient rule to calculate the derivative of the function: Use the product rule to calculate the derivative of the function: f (1) = (14 + 1-40)(1-2 -15-11) f(x) = Vx + 7 -x2+ 40x Answer: f'(1) = Answer: f'(x) = Check #1 Check #2 Calculate the second derivative of the function: Given that: f(7) = 35, 8(7) = -4, f'(7) = 10, and g' (7) = 2, f(x) = 19x - 8x-6 Compute: Answer: f"(x) = ax (f (x)g(x)) = Check #3 Check # 4 Let f(x) be a polynomial of degree 8. What is the degree of f'(x)? Consider the function f(x) = x* . Find the value of k such that the derivative of f(x) is equal to the function itself at the point x = 6. (Recall that the degree of a polynomial in one variable x is the highest power of that variable occurring in the polynomial.) k = Check Check #5 #6 Let a > 0, and consider the function Given that: f ( x ) = xta for x 2 0, f(-9) = 31, 8(-9) = -3, f'(-9) = 4, and 8' (-9) =2, for x