Question
1.Let f(x)=3x-x 2 . 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)
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.)
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