1.Let f(x)=3x-x². Evaluate f(-1).

2. Given f(x)=(x+1)³(x-1)² do: (a)find f'(x) and(b) evaluate f'(2). Enter your integer answer for part (b) in the box (using digits, and a negative sign, if necessary, like 35 or -41 ).

3. Given f(x)=find the point on its graph when x=1.

4. Find the average rate of change ofover the interval [1,4].

5. A particle moves along a straightline according to the law of motions(t)1/6t^3-8t^2+6t-8=. Find the velocity at the moment t=6. (Enter your answer as an integer, using digits, not words. Like 78 or -5, not seventyeight or negative five.)

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

7. Find the second derivativeof f(x)=2x ln(x) and evaluate it at x=4.(Enter your answer correctto at least three decimal places.)

8.If f(x) = (3x^-1+2x² )³,find f'(x)and evaluate f'(1).In the box enter your answer forf'(1) as an integer,like -35or 356

9. Givenf(2)=-5,f(49)=-8, f'(2)=3, f'(49)=8, g(49)=2, and g'(49)=4, evaluate (f(g(x)))' when x=49.Enter your answer in the box as an integer like -30or 43

10.A particle moves along a straightline according to the law of motions(t)= 1/6t^3-7t^2+8t-3. Find the acceleration at the moment t=5. (Enter your answer as an integer, using digits, not words. Like 78 or -5, not seventyeight or negative five.)