1 Find the derivative of f(x)=e^3-8/x^2-16 square root x

2 Find two numbers such that their difference is 18and their product is minimal.Write down your complete solution,including all steps as well as a clear statement of your final answer.You may use the math editor, or, if you prefer, plain text, for example using x^2 (for the square of x), x(x+5)=0 (for a sample equation), and x/(x-3) (for division). Show all your work.

3 A particle moves along a straightline according to the law of motions(t)1/6 t^3 - 3t^2 +3t-4. Find the acceleration at the moment t=7. (Enter your answer as an integer, using digits, not words. Like 78 or -5, not seventyeight or negative five.)

4 Find the absolute extreme values of the function on the interval. g(x) = 10 - 6x ², -2 x 4

5