1 Givenf(1)=-5,f(58)=-5, f'(1)=4, f'(58)=10, g(58)=1, and g'(58)=3, evaluate (f(g(x)))' when x=58.Enter your answer in the box as an integer like -30or 43

2 find the instantaneous rate of change f(x)= 5x^2-1 ,at x=1

3A particle moves along a straightline according to the law of motions(t)=1/4t^3-8t^2 +6t-8. 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.)

4.Find the second derivativeof f(x)=3x ln(x) and evaluate it at x=3.(Enter your answer correctto at least three decimal places.)

5Given f(x)=(x-4)³(x+1)² find do (a)f'(x) and(b) evaluate f'(3). Enter your integer answer for part (b) in the box (using digits, and a negative sign, if necessary, like 35 or -41 ).

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