Question

Find the point, (c,f(

c., on f(x)=x^2 in the interval 0≤x≤4, such that f'(
c. equals the average rate of change over that interval.

Answer 1

i hope this helps you




f'(x)=2x



x=0 f'(0)=2.0=0



x=1 f'(1)=2.1=2



x=2 f'(2)=2.2=4



x=3 f'(3)= 2.3=6



x=4 f'(4)= 2.4=8