In problems 1-5, Use the limit of a quotient difference definition of the derivative to determine the derivative f'(x) of the function. 1. ( ) f(x) = 2x 2. ( ) f(x) = x + 1 1 x+1 3. ( 4. ( 5. ( 6. ( ) f(x) = Assume here that a 1. ) f(x)=x +3 ) f(x) = 3 x + 1 |x2| 2-2 2- -2 ) Compute (a) lim 7. ( theorem for f(x) = 23-5x +1 on [0, 4]. |x2| x2+x2 and (b) lim Find the value of the c guaranteed in the mean value 8. ( value c guaranteed by the Mean Value Theorem. Given the function f(x)=- r on the interval [0, 4], compute a