How do you find the average rate of change of # f(x) = −x^4 + 4x^3 − 2x^2 + x + 1# over the interval [0, 1]?
1 Answer
Feb 27, 2017
Explanation:
The average rate of change of f(x) over the interval [0 , 1] is
#• (f(b)-f(a))/(b-a)#
#"where "[a,b]=[0,1]#
#f(1)=-1+4-2+1+1=3#
#f(0)=1#
#rArr(3-1)/(1-0)=2larr" average rate of change"#
